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Finding the Fourth Proportional to 1,040.34, 1,553.76 and 942.65

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Solution

The fourth proportional to 1,040.34, 1,553.76 and 942.65 is: 1,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.34 : 1,553.76 = 942.65 : x
  2. Step 2: Convert to fraction form
    1,040.34/1,553.76 = 942.65/x
  3. Step 3: Cross multiply
    1,040.34x = 1,553.76 × 942.65
  4. Step 4: Simplify right side
    1,040.34x = 1,464,644.10
  5. Step 5: Solve for x
    x = 1,464,644.10/1,040.34
  6. Step 6: Final answer
    x = 1,407.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.