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Finding the Fourth Proportional to 753.83, 1,040.57 and 675

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Solution

The fourth proportional to 753.83, 1,040.57 and 675 is: 931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.83 : 1,040.57 = 675 : x
  2. Step 2: Convert to fraction form
    753.83/1,040.57 = 675/x
  3. Step 3: Cross multiply
    753.83x = 1,040.57 × 675
  4. Step 4: Simplify right side
    753.83x = 702,381.38
  5. Step 5: Solve for x
    x = 702,381.38/753.83
  6. Step 6: Final answer
    x = 931.76

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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.