Home / 1,130.20-1,696.30-667.40

Finding the Fourth Proportional to 1,130.20, 1,696.30 and 667.40

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Solution

The fourth proportional to 1,130.20, 1,696.30 and 667.40 is: 1,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.20 : 1,696.30 = 667.40 : x
  2. Step 2: Convert to fraction form
    1,130.20/1,696.30 = 667.40/x
  3. Step 3: Cross multiply
    1,130.20x = 1,696.30 × 667.40
  4. Step 4: Simplify right side
    1,130.20x = 1,132,110.62
  5. Step 5: Solve for x
    x = 1,132,110.62/1,130.20
  6. Step 6: Final answer
    x = 1,001.69

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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.