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Finding the Fourth Proportional to 860.26, 1,182.04 and 702.52

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Solution

The fourth proportional to 860.26, 1,182.04 and 702.52 is: 965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.26 : 1,182.04 = 702.52 : x
  2. Step 2: Convert to fraction form
    860.26/1,182.04 = 702.52/x
  3. Step 3: Cross multiply
    860.26x = 1,182.04 × 702.52
  4. Step 4: Simplify right side
    860.26x = 830,406.74
  5. Step 5: Solve for x
    x = 830,406.74/860.26
  6. Step 6: Final answer
    x = 965.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.