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Finding the Fourth Proportional to 813.57, 1,122.83 and 498.88

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Solution

The fourth proportional to 813.57, 1,122.83 and 498.88 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.57 : 1,122.83 = 498.88 : x
  2. Step 2: Convert to fraction form
    813.57/1,122.83 = 498.88/x
  3. Step 3: Cross multiply
    813.57x = 1,122.83 × 498.88
  4. Step 4: Simplify right side
    813.57x = 560,157.43
  5. Step 5: Solve for x
    x = 560,157.43/813.57
  6. Step 6: Final answer
    x = 688.52

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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.