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Finding the Fourth Proportional to 1,663.12, 2,494.67 and 430.42

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Solution

The fourth proportional to 1,663.12, 2,494.67 and 430.42 is: 645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.12 : 2,494.67 = 430.42 : x
  2. Step 2: Convert to fraction form
    1,663.12/2,494.67 = 430.42/x
  3. Step 3: Cross multiply
    1,663.12x = 2,494.67 × 430.42
  4. Step 4: Simplify right side
    1,663.12x = 1,073,753.71
  5. Step 5: Solve for x
    x = 1,073,753.71/1,663.12
  6. Step 6: Final answer
    x = 645.63

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.