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Finding the Fourth Proportional to 1,158.38, 1,597.11 and 921.77

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Solution

The fourth proportional to 1,158.38, 1,597.11 and 921.77 is: 1,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.38 : 1,597.11 = 921.77 : x
  2. Step 2: Convert to fraction form
    1,158.38/1,597.11 = 921.77/x
  3. Step 3: Cross multiply
    1,158.38x = 1,597.11 × 921.77
  4. Step 4: Simplify right side
    1,158.38x = 1,472,168.08
  5. Step 5: Solve for x
    x = 1,472,168.08/1,158.38
  6. Step 6: Final answer
    x = 1,270.89

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Half scale
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Double scale
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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.