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Finding the Fourth Proportional to 527.16, 725.66 and 456.80

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Solution

The fourth proportional to 527.16, 725.66 and 456.80 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 725.66 = 456.80 : x
  2. Step 2: Convert to fraction form
    527.16/725.66 = 456.80/x
  3. Step 3: Cross multiply
    527.16x = 725.66 × 456.80
  4. Step 4: Simplify right side
    527.16x = 331,482.39
  5. Step 5: Solve for x
    x = 331,482.39/527.16
  6. Step 6: Final answer
    x = 628.81

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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.