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Finding the Fourth Proportional to 734.61, 1,100.70 and 517.13

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Solution

The fourth proportional to 734.61, 1,100.70 and 517.13 is: 774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.61 : 1,100.70 = 517.13 : x
  2. Step 2: Convert to fraction form
    734.61/1,100.70 = 517.13/x
  3. Step 3: Cross multiply
    734.61x = 1,100.70 × 517.13
  4. Step 4: Simplify right side
    734.61x = 569,199.49
  5. Step 5: Solve for x
    x = 569,199.49/734.61
  6. Step 6: Final answer
    x = 774.83

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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.