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Finding the Fourth Proportional to 529.99, 731.63 and 353.24

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Solution

The fourth proportional to 529.99, 731.63 and 353.24 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.99 : 731.63 = 353.24 : x
  2. Step 2: Convert to fraction form
    529.99/731.63 = 353.24/x
  3. Step 3: Cross multiply
    529.99x = 731.63 × 353.24
  4. Step 4: Simplify right side
    529.99x = 258,440.95
  5. Step 5: Solve for x
    x = 258,440.95/529.99
  6. Step 6: Final answer
    x = 487.64

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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.