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Finding the Fourth Proportional to 534.88, 736.90 and 424.32

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Solution

The fourth proportional to 534.88, 736.90 and 424.32 is: 584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.88 : 736.90 = 424.32 : x
  2. Step 2: Convert to fraction form
    534.88/736.90 = 424.32/x
  3. Step 3: Cross multiply
    534.88x = 736.90 × 424.32
  4. Step 4: Simplify right side
    534.88x = 312,681.41
  5. Step 5: Solve for x
    x = 312,681.41/534.88
  6. Step 6: Final answer
    x = 584.58

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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.