Home / 1,577.66-2,177.20-914.88

Finding the Fourth Proportional to 1,577.66, 2,177.20 and 914.88

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Solution

The fourth proportional to 1,577.66, 2,177.20 and 914.88 is: 1,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.66 : 2,177.20 = 914.88 : x
  2. Step 2: Convert to fraction form
    1,577.66/2,177.20 = 914.88/x
  3. Step 3: Cross multiply
    1,577.66x = 2,177.20 × 914.88
  4. Step 4: Simplify right side
    1,577.66x = 1,991,876.74
  5. Step 5: Solve for x
    x = 1,991,876.74/1,577.66
  6. Step 6: Final answer
    x = 1,262.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.