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Finding the Fourth Proportional to 527.56, 728.45 and 417.61

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Solution

The fourth proportional to 527.56, 728.45 and 417.61 is: 576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 728.45 = 417.61 : x
  2. Step 2: Convert to fraction form
    527.56/728.45 = 417.61/x
  3. Step 3: Cross multiply
    527.56x = 728.45 × 417.61
  4. Step 4: Simplify right side
    527.56x = 304,208.00
  5. Step 5: Solve for x
    x = 304,208.00/527.56
  6. Step 6: Final answer
    x = 576.63

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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.