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Finding the Fourth Proportional to 1,156.97, 1,597.23 and 784.23

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Solution

The fourth proportional to 1,156.97, 1,597.23 and 784.23 is: 1,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.97 : 1,597.23 = 784.23 : x
  2. Step 2: Convert to fraction form
    1,156.97/1,597.23 = 784.23/x
  3. Step 3: Cross multiply
    1,156.97x = 1,597.23 × 784.23
  4. Step 4: Simplify right side
    1,156.97x = 1,252,595.68
  5. Step 5: Solve for x
    x = 1,252,595.68/1,156.97
  6. Step 6: Final answer
    x = 1,082.66

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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.