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Finding the Fourth Proportional to 1,040.34, 1,432.38 and 882.63

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Solution

The fourth proportional to 1,040.34, 1,432.38 and 882.63 is: 1,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.34 : 1,432.38 = 882.63 : x
  2. Step 2: Convert to fraction form
    1,040.34/1,432.38 = 882.63/x
  3. Step 3: Cross multiply
    1,040.34x = 1,432.38 × 882.63
  4. Step 4: Simplify right side
    1,040.34x = 1,264,261.56
  5. Step 5: Solve for x
    x = 1,264,261.56/1,040.34
  6. Step 6: Final answer
    x = 1,215.24

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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.