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Finding the Fourth Proportional to 1,034.20, 1,426.98 and 684.76

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Solution

The fourth proportional to 1,034.20, 1,426.98 and 684.76 is: 944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.20 : 1,426.98 = 684.76 : x
  2. Step 2: Convert to fraction form
    1,034.20/1,426.98 = 684.76/x
  3. Step 3: Cross multiply
    1,034.20x = 1,426.98 × 684.76
  4. Step 4: Simplify right side
    1,034.20x = 977,138.82
  5. Step 5: Solve for x
    x = 977,138.82/1,034.20
  6. Step 6: Final answer
    x = 944.83

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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.