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Finding the Fourth Proportional to 1,142.41, 1,708.74 and 702.58

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Solution

The fourth proportional to 1,142.41, 1,708.74 and 702.58 is: 1,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.41 : 1,708.74 = 702.58 : x
  2. Step 2: Convert to fraction form
    1,142.41/1,708.74 = 702.58/x
  3. Step 3: Cross multiply
    1,142.41x = 1,708.74 × 702.58
  4. Step 4: Simplify right side
    1,142.41x = 1,200,526.55
  5. Step 5: Solve for x
    x = 1,200,526.55/1,142.41
  6. Step 6: Final answer
    x = 1,050.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.