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Finding the Fourth Proportional to 1,199.80, 1,655.70 and 734.20

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Solution

The fourth proportional to 1,199.80, 1,655.70 and 734.20 is: 1,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.80 : 1,655.70 = 734.20 : x
  2. Step 2: Convert to fraction form
    1,199.80/1,655.70 = 734.20/x
  3. Step 3: Cross multiply
    1,199.80x = 1,655.70 × 734.20
  4. Step 4: Simplify right side
    1,199.80x = 1,215,614.94
  5. Step 5: Solve for x
    x = 1,215,614.94/1,199.80
  6. Step 6: Final answer
    x = 1,013.18

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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.