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Finding the Fourth Proportional to 1,042.89, 1,570.40 and 770.88

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Solution

The fourth proportional to 1,042.89, 1,570.40 and 770.88 is: 1,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.89 : 1,570.40 = 770.88 : x
  2. Step 2: Convert to fraction form
    1,042.89/1,570.40 = 770.88/x
  3. Step 3: Cross multiply
    1,042.89x = 1,570.40 × 770.88
  4. Step 4: Simplify right side
    1,042.89x = 1,210,589.95
  5. Step 5: Solve for x
    x = 1,210,589.95/1,042.89
  6. Step 6: Final answer
    x = 1,160.80

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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.