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Finding the Fourth Proportional to 527.18, 790.76 and 285.24

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Solution

The fourth proportional to 527.18, 790.76 and 285.24 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.18 : 790.76 = 285.24 : x
  2. Step 2: Convert to fraction form
    527.18/790.76 = 285.24/x
  3. Step 3: Cross multiply
    527.18x = 790.76 × 285.24
  4. Step 4: Simplify right side
    527.18x = 225,557.10
  5. Step 5: Solve for x
    x = 225,557.10/527.18
  6. Step 6: Final answer
    x = 427.85

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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.