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Finding the Fourth Proportional to 1,157.89, 1,597.30 and 878.17

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Solution

The fourth proportional to 1,157.89, 1,597.30 and 878.17 is: 1,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.89 : 1,597.30 = 878.17 : x
  2. Step 2: Convert to fraction form
    1,157.89/1,597.30 = 878.17/x
  3. Step 3: Cross multiply
    1,157.89x = 1,597.30 × 878.17
  4. Step 4: Simplify right side
    1,157.89x = 1,402,700.94
  5. Step 5: Solve for x
    x = 1,402,700.94/1,157.89
  6. Step 6: Final answer
    x = 1,211.43

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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.