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Finding the Fourth Proportional to 744.76, 1,028.40 and 524.20

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Solution

The fourth proportional to 744.76, 1,028.40 and 524.20 is: 723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.76 : 1,028.40 = 524.20 : x
  2. Step 2: Convert to fraction form
    744.76/1,028.40 = 524.20/x
  3. Step 3: Cross multiply
    744.76x = 1,028.40 × 524.20
  4. Step 4: Simplify right side
    744.76x = 539,087.28
  5. Step 5: Solve for x
    x = 539,087.28/744.76
  6. Step 6: Final answer
    x = 723.84

Related Problems

Find fourth proportional to 372.38, 514.20 and 262.10
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.