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Finding the Fourth Proportional to 860.10, 1,283.84 and 750.66

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Solution

The fourth proportional to 860.10, 1,283.84 and 750.66 is: 1,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.10 : 1,283.84 = 750.66 : x
  2. Step 2: Convert to fraction form
    860.10/1,283.84 = 750.66/x
  3. Step 3: Cross multiply
    860.10x = 1,283.84 × 750.66
  4. Step 4: Simplify right side
    860.10x = 963,723.58
  5. Step 5: Solve for x
    x = 963,723.58/860.10
  6. Step 6: Final answer
    x = 1,120.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.