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Finding the Fourth Proportional to 1,042.91, 1,570.46 and 770.92

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Solution

The fourth proportional to 1,042.91, 1,570.46 and 770.92 is: 1,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.91 : 1,570.46 = 770.92 : x
  2. Step 2: Convert to fraction form
    1,042.91/1,570.46 = 770.92/x
  3. Step 3: Cross multiply
    1,042.91x = 1,570.46 × 770.92
  4. Step 4: Simplify right side
    1,042.91x = 1,210,691.24
  5. Step 5: Solve for x
    x = 1,210,691.24/1,042.91
  6. Step 6: Final answer
    x = 1,160.88

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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.