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Finding the Fourth Proportional to 813.16, 1,122.42 and 690.04

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Solution

The fourth proportional to 813.16, 1,122.42 and 690.04 is: 952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.16 : 1,122.42 = 690.04 : x
  2. Step 2: Convert to fraction form
    813.16/1,122.42 = 690.04/x
  3. Step 3: Cross multiply
    813.16x = 1,122.42 × 690.04
  4. Step 4: Simplify right side
    813.16x = 774,514.70
  5. Step 5: Solve for x
    x = 774,514.70/813.16
  6. Step 6: Final answer
    x = 952.48

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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.