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Finding the Fourth Proportional to 862.98, 1,191.35 and 584.68

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Solution

The fourth proportional to 862.98, 1,191.35 and 584.68 is: 807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.98 : 1,191.35 = 584.68 : x
  2. Step 2: Convert to fraction form
    862.98/1,191.35 = 584.68/x
  3. Step 3: Cross multiply
    862.98x = 1,191.35 × 584.68
  4. Step 4: Simplify right side
    862.98x = 696,558.52
  5. Step 5: Solve for x
    x = 696,558.52/862.98
  6. Step 6: Final answer
    x = 807.15

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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.