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Finding the Fourth Proportional to 810.29, 1,212.92 and 654.92

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Solution

The fourth proportional to 810.29, 1,212.92 and 654.92 is: 980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.29 : 1,212.92 = 654.92 : x
  2. Step 2: Convert to fraction form
    810.29/1,212.92 = 654.92/x
  3. Step 3: Cross multiply
    810.29x = 1,212.92 × 654.92
  4. Step 4: Simplify right side
    810.29x = 794,365.57
  5. Step 5: Solve for x
    x = 794,365.57/810.29
  6. Step 6: Final answer
    x = 980.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.