Home / 1,509.32-2,262.56-814.95

Finding the Fourth Proportional to 1,509.32, 2,262.56 and 814.95

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Solution

The fourth proportional to 1,509.32, 2,262.56 and 814.95 is: 1,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.32 : 2,262.56 = 814.95 : x
  2. Step 2: Convert to fraction form
    1,509.32/2,262.56 = 814.95/x
  3. Step 3: Cross multiply
    1,509.32x = 2,262.56 × 814.95
  4. Step 4: Simplify right side
    1,509.32x = 1,843,869.20
  5. Step 5: Solve for x
    x = 1,843,869.20/1,509.32
  6. Step 6: Final answer
    x = 1,221.66

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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.