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Finding the Fourth Proportional to 1,154.67, 1,593.47 and 630.70

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Solution

The fourth proportional to 1,154.67, 1,593.47 and 630.70 is: 870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.67 : 1,593.47 = 630.70 : x
  2. Step 2: Convert to fraction form
    1,154.67/1,593.47 = 630.70/x
  3. Step 3: Cross multiply
    1,154.67x = 1,593.47 × 630.70
  4. Step 4: Simplify right side
    1,154.67x = 1,005,008.09
  5. Step 5: Solve for x
    x = 1,005,008.09/1,154.67
  6. Step 6: Final answer
    x = 870.38

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1.5x scale

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.