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Finding the Fourth Proportional to 527.83, 728.13 and 353.14

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Solution

The fourth proportional to 527.83, 728.13 and 353.14 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.83 : 728.13 = 353.14 : x
  2. Step 2: Convert to fraction form
    527.83/728.13 = 353.14/x
  3. Step 3: Cross multiply
    527.83x = 728.13 × 353.14
  4. Step 4: Simplify right side
    527.83x = 257,131.83
  5. Step 5: Solve for x
    x = 257,131.83/527.83
  6. Step 6: Final answer
    x = 487.15

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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.