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Finding the Fourth Proportional to 1,002.92, 1,384.36 and 689.78

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Solution

The fourth proportional to 1,002.92, 1,384.36 and 689.78 is: 952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.92 : 1,384.36 = 689.78 : x
  2. Step 2: Convert to fraction form
    1,002.92/1,384.36 = 689.78/x
  3. Step 3: Cross multiply
    1,002.92x = 1,384.36 × 689.78
  4. Step 4: Simplify right side
    1,002.92x = 954,905.58
  5. Step 5: Solve for x
    x = 954,905.58/1,002.92
  6. Step 6: Final answer
    x = 952.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.