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Finding the Fourth Proportional to 534.90, 738.57 and 424.19

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Solution

The fourth proportional to 534.90, 738.57 and 424.19 is: 585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 738.57 = 424.19 : x
  2. Step 2: Convert to fraction form
    534.90/738.57 = 424.19/x
  3. Step 3: Cross multiply
    534.90x = 738.57 × 424.19
  4. Step 4: Simplify right side
    534.90x = 313,290.90
  5. Step 5: Solve for x
    x = 313,290.90/534.90
  6. Step 6: Final answer
    x = 585.70

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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.