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Finding the Fourth Proportional to 538.48, 744.02 and 524.65

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Solution

The fourth proportional to 538.48, 744.02 and 524.65 is: 724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 744.02 = 524.65 : x
  2. Step 2: Convert to fraction form
    538.48/744.02 = 524.65/x
  3. Step 3: Cross multiply
    538.48x = 744.02 × 524.65
  4. Step 4: Simplify right side
    538.48x = 390,350.09
  5. Step 5: Solve for x
    x = 390,350.09/538.48
  6. Step 6: Final answer
    x = 724.91

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