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Finding the Fourth Proportional to 527.17, 790.49 and 307.87

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Solution

The fourth proportional to 527.17, 790.49 and 307.87 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.17 : 790.49 = 307.87 : x
  2. Step 2: Convert to fraction form
    527.17/790.49 = 307.87/x
  3. Step 3: Cross multiply
    527.17x = 790.49 × 307.87
  4. Step 4: Simplify right side
    527.17x = 243,364.20
  5. Step 5: Solve for x
    x = 243,364.20/527.17
  6. Step 6: Final answer
    x = 461.64

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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.