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Finding the Fourth Proportional to 529.83, 731.69 and 436.88

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Solution

The fourth proportional to 529.83, 731.69 and 436.88 is: 603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.83 : 731.69 = 436.88 : x
  2. Step 2: Convert to fraction form
    529.83/731.69 = 436.88/x
  3. Step 3: Cross multiply
    529.83x = 731.69 × 436.88
  4. Step 4: Simplify right side
    529.83x = 319,654.88
  5. Step 5: Solve for x
    x = 319,654.88/529.83
  6. Step 6: Final answer
    x = 603.32

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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.