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Finding the Fourth Proportional to 1,042.64, 1,438.38 and 688.11

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Solution

The fourth proportional to 1,042.64, 1,438.38 and 688.11 is: 949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.64 : 1,438.38 = 688.11 : x
  2. Step 2: Convert to fraction form
    1,042.64/1,438.38 = 688.11/x
  3. Step 3: Cross multiply
    1,042.64x = 1,438.38 × 688.11
  4. Step 4: Simplify right side
    1,042.64x = 989,763.66
  5. Step 5: Solve for x
    x = 989,763.66/1,042.64
  6. Step 6: Final answer
    x = 949.29

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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.