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Finding the Fourth Proportional to 813.04, 1,122.20 and 498.52

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Solution

The fourth proportional to 813.04, 1,122.20 and 498.52 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.04 : 1,122.20 = 498.52 : x
  2. Step 2: Convert to fraction form
    813.04/1,122.20 = 498.52/x
  3. Step 3: Cross multiply
    813.04x = 1,122.20 × 498.52
  4. Step 4: Simplify right side
    813.04x = 559,439.46
  5. Step 5: Solve for x
    x = 559,439.46/813.04
  6. Step 6: Final answer
    x = 688.08

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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.