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Finding the Fourth Proportional to 527.70, 728.10 and 353

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Solution

The fourth proportional to 527.70, 728.10 and 353 is: 487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 728.10 = 353 : x
  2. Step 2: Convert to fraction form
    527.70/728.10 = 353/x
  3. Step 3: Cross multiply
    527.70x = 728.10 × 353
  4. Step 4: Simplify right side
    527.70x = 257,019.30
  5. Step 5: Solve for x
    x = 257,019.30/527.70
  6. Step 6: Final answer
    x = 487.06

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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.