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Finding the Fourth Proportional to 1,042.59, 1,432.75 and 994.40

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Solution

The fourth proportional to 1,042.59, 1,432.75 and 994.40 is: 1,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.59 : 1,432.75 = 994.40 : x
  2. Step 2: Convert to fraction form
    1,042.59/1,432.75 = 994.40/x
  3. Step 3: Cross multiply
    1,042.59x = 1,432.75 × 994.40
  4. Step 4: Simplify right side
    1,042.59x = 1,424,721.63
  5. Step 5: Solve for x
    x = 1,424,721.63/1,042.59
  6. Step 6: Final answer
    x = 1,366.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.