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Finding the Fourth Proportional to 1,006.92, 1,508.76 and 971.28

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Solution

The fourth proportional to 1,006.92, 1,508.76 and 971.28 is: 1,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.92 : 1,508.76 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,006.92/1,508.76 = 971.28/x
  3. Step 3: Cross multiply
    1,006.92x = 1,508.76 × 971.28
  4. Step 4: Simplify right side
    1,006.92x = 1,465,428.41
  5. Step 5: Solve for x
    x = 1,465,428.41/1,006.92
  6. Step 6: Final answer
    x = 1,455.36

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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.