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Finding the Fourth Proportional to 860.40, 1,295.66 and 753.52

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Solution

The fourth proportional to 860.40, 1,295.66 and 753.52 is: 1,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.40 : 1,295.66 = 753.52 : x
  2. Step 2: Convert to fraction form
    860.40/1,295.66 = 753.52/x
  3. Step 3: Cross multiply
    860.40x = 1,295.66 × 753.52
  4. Step 4: Simplify right side
    860.40x = 976,305.72
  5. Step 5: Solve for x
    x = 976,305.72/860.40
  6. Step 6: Final answer
    x = 1,134.71

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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.