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Finding the Fourth Proportional to 535.31, 738.32 and 424.59

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Solution

The fourth proportional to 535.31, 738.32 and 424.59 is: 585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.31 : 738.32 = 424.59 : x
  2. Step 2: Convert to fraction form
    535.31/738.32 = 424.59/x
  3. Step 3: Cross multiply
    535.31x = 738.32 × 424.59
  4. Step 4: Simplify right side
    535.31x = 313,482.55
  5. Step 5: Solve for x
    x = 313,482.55/535.31
  6. Step 6: Final answer
    x = 585.61

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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.