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Finding the Fourth Proportional to 642.56, 962.88 and 527.82

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Solution

The fourth proportional to 642.56, 962.88 and 527.82 is: 790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.56 : 962.88 = 527.82 : x
  2. Step 2: Convert to fraction form
    642.56/962.88 = 527.82/x
  3. Step 3: Cross multiply
    642.56x = 962.88 × 527.82
  4. Step 4: Simplify right side
    642.56x = 508,227.32
  5. Step 5: Solve for x
    x = 508,227.32/642.56
  6. Step 6: Final answer
    x = 790.94

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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.