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Finding the Fourth Proportional to 1,167.92, 1,613.78 and 933.80

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Solution

The fourth proportional to 1,167.92, 1,613.78 and 933.80 is: 1,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.92 : 1,613.78 = 933.80 : x
  2. Step 2: Convert to fraction form
    1,167.92/1,613.78 = 933.80/x
  3. Step 3: Cross multiply
    1,167.92x = 1,613.78 × 933.80
  4. Step 4: Simplify right side
    1,167.92x = 1,506,935.03
  5. Step 5: Solve for x
    x = 1,506,935.03/1,167.92
  6. Step 6: Final answer
    x = 1,290.28

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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.