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Finding the Fourth Proportional to 821.49, 1,232.24 and 410.82

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Solution

The fourth proportional to 821.49, 1,232.24 and 410.82 is: 616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.49 : 1,232.24 = 410.82 : x
  2. Step 2: Convert to fraction form
    821.49/1,232.24 = 410.82/x
  3. Step 3: Cross multiply
    821.49x = 1,232.24 × 410.82
  4. Step 4: Simplify right side
    821.49x = 506,226.78
  5. Step 5: Solve for x
    x = 506,226.78/821.49
  6. Step 6: Final answer
    x = 616.23

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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.