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Finding the Fourth Proportional to 821.89, 1,232.85 and 458.99

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Solution

The fourth proportional to 821.89, 1,232.85 and 458.99 is: 688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.89 : 1,232.85 = 458.99 : x
  2. Step 2: Convert to fraction form
    821.89/1,232.85 = 458.99/x
  3. Step 3: Cross multiply
    821.89x = 1,232.85 × 458.99
  4. Step 4: Simplify right side
    821.89x = 565,865.82
  5. Step 5: Solve for x
    x = 565,865.82/821.89
  6. Step 6: Final answer
    x = 688.49

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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.