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Finding the Fourth Proportional to 1,170.17, 1,613.78 and 921.04

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Solution

The fourth proportional to 1,170.17, 1,613.78 and 921.04 is: 1,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.17 : 1,613.78 = 921.04 : x
  2. Step 2: Convert to fraction form
    1,170.17/1,613.78 = 921.04/x
  3. Step 3: Cross multiply
    1,170.17x = 1,613.78 × 921.04
  4. Step 4: Simplify right side
    1,170.17x = 1,486,355.93
  5. Step 5: Solve for x
    x = 1,486,355.93/1,170.17
  6. Step 6: Final answer
    x = 1,270.21

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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.