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Finding the Fourth Proportional to 1,154.57, 1,593.28 and 630.60

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Solution

The fourth proportional to 1,154.57, 1,593.28 and 630.60 is: 870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.57 : 1,593.28 = 630.60 : x
  2. Step 2: Convert to fraction form
    1,154.57/1,593.28 = 630.60/x
  3. Step 3: Cross multiply
    1,154.57x = 1,593.28 × 630.60
  4. Step 4: Simplify right side
    1,154.57x = 1,004,720.79
  5. Step 5: Solve for x
    x = 1,004,720.79/1,154.57
  6. Step 6: Final answer
    x = 870.22

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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.