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Finding the Fourth Proportional to 1,187.18, 1,638.55 and 744.76

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Solution

The fourth proportional to 1,187.18, 1,638.55 and 744.76 is: 1,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.18 : 1,638.55 = 744.76 : x
  2. Step 2: Convert to fraction form
    1,187.18/1,638.55 = 744.76/x
  3. Step 3: Cross multiply
    1,187.18x = 1,638.55 × 744.76
  4. Step 4: Simplify right side
    1,187.18x = 1,220,326.50
  5. Step 5: Solve for x
    x = 1,220,326.50/1,187.18
  6. Step 6: Final answer
    x = 1,027.92

Related Problems

Find fourth proportional to 593.59, 819.28 and 372.38
Half scale
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Double scale
Find fourth proportional to 1,188.18, 1,639.93 and 745.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.