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Finding the Fourth Proportional to 527.64, 790.11 and 476.61

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Solution

The fourth proportional to 527.64, 790.11 and 476.61 is: 713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.64 : 790.11 = 476.61 : x
  2. Step 2: Convert to fraction form
    527.64/790.11 = 476.61/x
  3. Step 3: Cross multiply
    527.64x = 790.11 × 476.61
  4. Step 4: Simplify right side
    527.64x = 376,574.33
  5. Step 5: Solve for x
    x = 376,574.33/527.64
  6. Step 6: Final answer
    x = 713.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.