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Finding the Fourth Proportional to 820.42, 1,132.28 and 471.13

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Solution

The fourth proportional to 820.42, 1,132.28 and 471.13 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.42 : 1,132.28 = 471.13 : x
  2. Step 2: Convert to fraction form
    820.42/1,132.28 = 471.13/x
  3. Step 3: Cross multiply
    820.42x = 1,132.28 × 471.13
  4. Step 4: Simplify right side
    820.42x = 533,448.72
  5. Step 5: Solve for x
    x = 533,448.72/820.42
  6. Step 6: Final answer
    x = 650.21

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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.