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Finding the Fourth Proportional to 1,254.53, 1,882.70 and 638.67

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Solution

The fourth proportional to 1,254.53, 1,882.70 and 638.67 is: 958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.53 : 1,882.70 = 638.67 : x
  2. Step 2: Convert to fraction form
    1,254.53/1,882.70 = 638.67/x
  3. Step 3: Cross multiply
    1,254.53x = 1,882.70 × 638.67
  4. Step 4: Simplify right side
    1,254.53x = 1,202,428.07
  5. Step 5: Solve for x
    x = 1,202,428.07/1,254.53
  6. Step 6: Final answer
    x = 958.47

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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.