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Finding the Fourth Proportional to 862.13, 1,293.96 and 568.81

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Solution

The fourth proportional to 862.13, 1,293.96 and 568.81 is: 853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.13 : 1,293.96 = 568.81 : x
  2. Step 2: Convert to fraction form
    862.13/1,293.96 = 568.81/x
  3. Step 3: Cross multiply
    862.13x = 1,293.96 × 568.81
  4. Step 4: Simplify right side
    862.13x = 736,017.39
  5. Step 5: Solve for x
    x = 736,017.39/862.13
  6. Step 6: Final answer
    x = 853.72

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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.