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Finding the Fourth Proportional to 820.87, 1,132.70 and 484.82

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Solution

The fourth proportional to 820.87, 1,132.70 and 484.82 is: 669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.87 : 1,132.70 = 484.82 : x
  2. Step 2: Convert to fraction form
    820.87/1,132.70 = 484.82/x
  3. Step 3: Cross multiply
    820.87x = 1,132.70 × 484.82
  4. Step 4: Simplify right side
    820.87x = 549,160.87
  5. Step 5: Solve for x
    x = 549,160.87/820.87
  6. Step 6: Final answer
    x = 669.00

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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.