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Finding the Fourth Proportional to 1,366.76, 1,886.14 and 745.76

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Solution

The fourth proportional to 1,366.76, 1,886.14 and 745.76 is: 1,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.76 : 1,886.14 = 745.76 : x
  2. Step 2: Convert to fraction form
    1,366.76/1,886.14 = 745.76/x
  3. Step 3: Cross multiply
    1,366.76x = 1,886.14 × 745.76
  4. Step 4: Simplify right side
    1,366.76x = 1,406,607.77
  5. Step 5: Solve for x
    x = 1,406,607.77/1,366.76
  6. Step 6: Final answer
    x = 1,029.15

Related Problems

Find fourth proportional to 683.38, 943.07 and 372.88
Half scale
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Double scale
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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.