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Finding the Fourth Proportional to 652.29, 971.22 and 642.43

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Solution

The fourth proportional to 652.29, 971.22 and 642.43 is: 956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.29 : 971.22 = 642.43 : x
  2. Step 2: Convert to fraction form
    652.29/971.22 = 642.43/x
  3. Step 3: Cross multiply
    652.29x = 971.22 × 642.43
  4. Step 4: Simplify right side
    652.29x = 623,944.49
  5. Step 5: Solve for x
    x = 623,944.49/652.29
  6. Step 6: Final answer
    x = 956.55

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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.