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Finding the Fourth Proportional to 867.55, 1,301.93 and 686.11

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Solution

The fourth proportional to 867.55, 1,301.93 and 686.11 is: 1,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.55 : 1,301.93 = 686.11 : x
  2. Step 2: Convert to fraction form
    867.55/1,301.93 = 686.11/x
  3. Step 3: Cross multiply
    867.55x = 1,301.93 × 686.11
  4. Step 4: Simplify right side
    867.55x = 893,257.25
  5. Step 5: Solve for x
    x = 893,257.25/867.55
  6. Step 6: Final answer
    x = 1,029.64

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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.