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Finding the Fourth Proportional to 1,038.16, 1,553.62 and 642.68

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Solution

The fourth proportional to 1,038.16, 1,553.62 and 642.68 is: 961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.16 : 1,553.62 = 642.68 : x
  2. Step 2: Convert to fraction form
    1,038.16/1,553.62 = 642.68/x
  3. Step 3: Cross multiply
    1,038.16x = 1,553.62 × 642.68
  4. Step 4: Simplify right side
    1,038.16x = 998,480.50
  5. Step 5: Solve for x
    x = 998,480.50/1,038.16
  6. Step 6: Final answer
    x = 961.78

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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.