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Finding the Fourth Proportional to 734.85, 1,100.53 and 638.14

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Solution

The fourth proportional to 734.85, 1,100.53 and 638.14 is: 955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.85 : 1,100.53 = 638.14 : x
  2. Step 2: Convert to fraction form
    734.85/1,100.53 = 638.14/x
  3. Step 3: Cross multiply
    734.85x = 1,100.53 × 638.14
  4. Step 4: Simplify right side
    734.85x = 702,294.39
  5. Step 5: Solve for x
    x = 702,294.39/734.85
  6. Step 6: Final answer
    x = 955.70

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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.