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Finding the Fourth Proportional to 527.25, 725.18 and 461.64

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Solution

The fourth proportional to 527.25, 725.18 and 461.64 is: 634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 725.18 = 461.64 : x
  2. Step 2: Convert to fraction form
    527.25/725.18 = 461.64/x
  3. Step 3: Cross multiply
    527.25x = 725.18 × 461.64
  4. Step 4: Simplify right side
    527.25x = 334,769.79
  5. Step 5: Solve for x
    x = 334,769.79/527.25
  6. Step 6: Final answer
    x = 634.94

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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.