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Finding the Fourth Proportional to 709.85, 1,071.18 and 684.11

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Solution

The fourth proportional to 709.85, 1,071.18 and 684.11 is: 1,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 1,071.18 = 684.11 : x
  2. Step 2: Convert to fraction form
    709.85/1,071.18 = 684.11/x
  3. Step 3: Cross multiply
    709.85x = 1,071.18 × 684.11
  4. Step 4: Simplify right side
    709.85x = 732,803.59
  5. Step 5: Solve for x
    x = 732,803.59/709.85
  6. Step 6: Final answer
    x = 1,032.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.