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Finding the Fourth Proportional to 1,158.76, 1,591.13 and 1,122.76

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Solution

The fourth proportional to 1,158.76, 1,591.13 and 1,122.76 is: 1,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.76 : 1,591.13 = 1,122.76 : x
  2. Step 2: Convert to fraction form
    1,158.76/1,591.13 = 1,122.76/x
  3. Step 3: Cross multiply
    1,158.76x = 1,591.13 × 1,122.76
  4. Step 4: Simplify right side
    1,158.76x = 1,786,457.12
  5. Step 5: Solve for x
    x = 1,786,457.12/1,158.76
  6. Step 6: Final answer
    x = 1,541.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.