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Finding the Fourth Proportional to 734.48, 1,013.67 and 454.90

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Solution

The fourth proportional to 734.48, 1,013.67 and 454.90 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.48 : 1,013.67 = 454.90 : x
  2. Step 2: Convert to fraction form
    734.48/1,013.67 = 454.90/x
  3. Step 3: Cross multiply
    734.48x = 1,013.67 × 454.90
  4. Step 4: Simplify right side
    734.48x = 461,118.48
  5. Step 5: Solve for x
    x = 461,118.48/734.48
  6. Step 6: Final answer
    x = 627.82

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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.