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Finding the Fourth Proportional to 650.49, 974.80 and 430.74

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Solution

The fourth proportional to 650.49, 974.80 and 430.74 is: 645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.49 : 974.80 = 430.74 : x
  2. Step 2: Convert to fraction form
    650.49/974.80 = 430.74/x
  3. Step 3: Cross multiply
    650.49x = 974.80 × 430.74
  4. Step 4: Simplify right side
    650.49x = 419,885.35
  5. Step 5: Solve for x
    x = 419,885.35/650.49
  6. Step 6: Final answer
    x = 645.49

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Half scale
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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.