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Finding the Fourth Proportional to 1,167.78, 1,611.67 and 670.42

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Solution

The fourth proportional to 1,167.78, 1,611.67 and 670.42 is: 925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.78 : 1,611.67 = 670.42 : x
  2. Step 2: Convert to fraction form
    1,167.78/1,611.67 = 670.42/x
  3. Step 3: Cross multiply
    1,167.78x = 1,611.67 × 670.42
  4. Step 4: Simplify right side
    1,167.78x = 1,080,490.10
  5. Step 5: Solve for x
    x = 1,080,490.10/1,167.78
  6. Step 6: Final answer
    x = 925.25

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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.