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Finding the Fourth Proportional to 813.13, 1,122.12 and 463.82

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Solution

The fourth proportional to 813.13, 1,122.12 and 463.82 is: 640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.13 : 1,122.12 = 463.82 : x
  2. Step 2: Convert to fraction form
    813.13/1,122.12 = 463.82/x
  3. Step 3: Cross multiply
    813.13x = 1,122.12 × 463.82
  4. Step 4: Simplify right side
    813.13x = 520,461.70
  5. Step 5: Solve for x
    x = 520,461.70/813.13
  6. Step 6: Final answer
    x = 640.07

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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.