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Finding the Fourth Proportional to 1,125.52, 1,680.42 and 971.28

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Solution

The fourth proportional to 1,125.52, 1,680.42 and 971.28 is: 1,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.52 : 1,680.42 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,125.52/1,680.42 = 971.28/x
  3. Step 3: Cross multiply
    1,125.52x = 1,680.42 × 971.28
  4. Step 4: Simplify right side
    1,125.52x = 1,632,158.34
  5. Step 5: Solve for x
    x = 1,632,158.34/1,125.52
  6. Step 6: Final answer
    x = 1,450.14

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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.