Home / 1,356.50-2,037.47-809.75

Finding the Fourth Proportional to 1,356.50, 2,037.47 and 809.75

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Solution

The fourth proportional to 1,356.50, 2,037.47 and 809.75 is: 1,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.50 : 2,037.47 = 809.75 : x
  2. Step 2: Convert to fraction form
    1,356.50/2,037.47 = 809.75/x
  3. Step 3: Cross multiply
    1,356.50x = 2,037.47 × 809.75
  4. Step 4: Simplify right side
    1,356.50x = 1,649,827.10
  5. Step 5: Solve for x
    x = 1,649,827.10/1,356.50
  6. Step 6: Final answer
    x = 1,216.24

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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.