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Finding the Fourth Proportional to 1,107.20, 1,657.20 and 862.40

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Solution

The fourth proportional to 1,107.20, 1,657.20 and 862.40 is: 1,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.20 : 1,657.20 = 862.40 : x
  2. Step 2: Convert to fraction form
    1,107.20/1,657.20 = 862.40/x
  3. Step 3: Cross multiply
    1,107.20x = 1,657.20 × 862.40
  4. Step 4: Simplify right side
    1,107.20x = 1,429,169.28
  5. Step 5: Solve for x
    x = 1,429,169.28/1,107.20
  6. Step 6: Final answer
    x = 1,290.80

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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.