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Finding the Fourth Proportional to 1,111.40, 1,668.90 and 747.80

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Solution

The fourth proportional to 1,111.40, 1,668.90 and 747.80 is: 1,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.40 : 1,668.90 = 747.80 : x
  2. Step 2: Convert to fraction form
    1,111.40/1,668.90 = 747.80/x
  3. Step 3: Cross multiply
    1,111.40x = 1,668.90 × 747.80
  4. Step 4: Simplify right side
    1,111.40x = 1,248,003.42
  5. Step 5: Solve for x
    x = 1,248,003.42/1,111.40
  6. Step 6: Final answer
    x = 1,122.91

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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.