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Finding the Fourth Proportional to 1,152.77, 1,589.04 and 951.17

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Solution

The fourth proportional to 1,152.77, 1,589.04 and 951.17 is: 1,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.77 : 1,589.04 = 951.17 : x
  2. Step 2: Convert to fraction form
    1,152.77/1,589.04 = 951.17/x
  3. Step 3: Cross multiply
    1,152.77x = 1,589.04 × 951.17
  4. Step 4: Simplify right side
    1,152.77x = 1,511,439.23
  5. Step 5: Solve for x
    x = 1,511,439.23/1,152.77
  6. Step 6: Final answer
    x = 1,311.14

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Find fourth proportional to 576.38, 794.52 and 475.58
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.