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Finding the Fourth Proportional to 821.00, 1,132.71 and 466.92

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Solution

The fourth proportional to 821.00, 1,132.71 and 466.92 is: 644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.00 : 1,132.71 = 466.92 : x
  2. Step 2: Convert to fraction form
    821.00/1,132.71 = 466.92/x
  3. Step 3: Cross multiply
    821.00x = 1,132.71 × 466.92
  4. Step 4: Simplify right side
    821.00x = 528,884.95
  5. Step 5: Solve for x
    x = 528,884.95/821.00
  6. Step 6: Final answer
    x = 644.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.