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Finding the Fourth Proportional to 821.15, 1,132.90 and 467.04

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Solution

The fourth proportional to 821.15, 1,132.90 and 467.04 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.15 : 1,132.90 = 467.04 : x
  2. Step 2: Convert to fraction form
    821.15/1,132.90 = 467.04/x
  3. Step 3: Cross multiply
    821.15x = 1,132.90 × 467.04
  4. Step 4: Simplify right side
    821.15x = 529,109.62
  5. Step 5: Solve for x
    x = 529,109.62/821.15
  6. Step 6: Final answer
    x = 644.35

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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.