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Finding the Fourth Proportional to 1,518.71, 2,277.28 and 778.20

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Solution

The fourth proportional to 1,518.71, 2,277.28 and 778.20 is: 1,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.71 : 2,277.28 = 778.20 : x
  2. Step 2: Convert to fraction form
    1,518.71/2,277.28 = 778.20/x
  3. Step 3: Cross multiply
    1,518.71x = 2,277.28 × 778.20
  4. Step 4: Simplify right side
    1,518.71x = 1,772,179.30
  5. Step 5: Solve for x
    x = 1,772,179.30/1,518.71
  6. Step 6: Final answer
    x = 1,166.90

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1.5x scale

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.