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Finding the Fourth Proportional to 821.47, 1,225.13 and 698.85

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Solution

The fourth proportional to 821.47, 1,225.13 and 698.85 is: 1,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.47 : 1,225.13 = 698.85 : x
  2. Step 2: Convert to fraction form
    821.47/1,225.13 = 698.85/x
  3. Step 3: Cross multiply
    821.47x = 1,225.13 × 698.85
  4. Step 4: Simplify right side
    821.47x = 856,182.10
  5. Step 5: Solve for x
    x = 856,182.10/821.47
  6. Step 6: Final answer
    x = 1,042.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.