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Finding the Fourth Proportional to 734.74, 1,013.95 and 454.98

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Solution

The fourth proportional to 734.74, 1,013.95 and 454.98 is: 627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.74 : 1,013.95 = 454.98 : x
  2. Step 2: Convert to fraction form
    734.74/1,013.95 = 454.98/x
  3. Step 3: Cross multiply
    734.74x = 1,013.95 × 454.98
  4. Step 4: Simplify right side
    734.74x = 461,331.34
  5. Step 5: Solve for x
    x = 461,331.34/734.74
  6. Step 6: Final answer
    x = 627.89

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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.