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Finding the Fourth Proportional to 1,149.76, 1,722.28 and 778.40

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Solution

The fourth proportional to 1,149.76, 1,722.28 and 778.40 is: 1,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.76 : 1,722.28 = 778.40 : x
  2. Step 2: Convert to fraction form
    1,149.76/1,722.28 = 778.40/x
  3. Step 3: Cross multiply
    1,149.76x = 1,722.28 × 778.40
  4. Step 4: Simplify right side
    1,149.76x = 1,340,622.75
  5. Step 5: Solve for x
    x = 1,340,622.75/1,149.76
  6. Step 6: Final answer
    x = 1,166.00

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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.