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Finding the Fourth Proportional to 812.46, 1,216.76 and 487.10

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Solution

The fourth proportional to 812.46, 1,216.76 and 487.10 is: 729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.46 : 1,216.76 = 487.10 : x
  2. Step 2: Convert to fraction form
    812.46/1,216.76 = 487.10/x
  3. Step 3: Cross multiply
    812.46x = 1,216.76 × 487.10
  4. Step 4: Simplify right side
    812.46x = 592,683.80
  5. Step 5: Solve for x
    x = 592,683.80/812.46
  6. Step 6: Final answer
    x = 729.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.