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Finding the Fourth Proportional to 1,070.49, 1,474.29 and 864.55

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Solution

The fourth proportional to 1,070.49, 1,474.29 and 864.55 is: 1,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.49 : 1,474.29 = 864.55 : x
  2. Step 2: Convert to fraction form
    1,070.49/1,474.29 = 864.55/x
  3. Step 3: Cross multiply
    1,070.49x = 1,474.29 × 864.55
  4. Step 4: Simplify right side
    1,070.49x = 1,274,593.73
  5. Step 5: Solve for x
    x = 1,274,593.73/1,070.49
  6. Step 6: Final answer
    x = 1,190.66

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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.