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Finding the Fourth Proportional to 527.16, 728.94 and 454.20

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Solution

The fourth proportional to 527.16, 728.94 and 454.20 is: 628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 728.94 = 454.20 : x
  2. Step 2: Convert to fraction form
    527.16/728.94 = 454.20/x
  3. Step 3: Cross multiply
    527.16x = 728.94 × 454.20
  4. Step 4: Simplify right side
    527.16x = 331,084.55
  5. Step 5: Solve for x
    x = 331,084.55/527.16
  6. Step 6: Final answer
    x = 628.05

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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.