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Finding the Fourth Proportional to 642.06, 959.72 and 531.90

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Solution

The fourth proportional to 642.06, 959.72 and 531.90 is: 795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 959.72 = 531.90 : x
  2. Step 2: Convert to fraction form
    642.06/959.72 = 531.90/x
  3. Step 3: Cross multiply
    642.06x = 959.72 × 531.90
  4. Step 4: Simplify right side
    642.06x = 510,472.41
  5. Step 5: Solve for x
    x = 510,472.41/642.06
  6. Step 6: Final answer
    x = 795.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.