Home / 1,552.30-2,328.86-811.96

Finding the Fourth Proportional to 1,552.30, 2,328.86 and 811.96

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Solution

The fourth proportional to 1,552.30, 2,328.86 and 811.96 is: 1,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.30 : 2,328.86 = 811.96 : x
  2. Step 2: Convert to fraction form
    1,552.30/2,328.86 = 811.96/x
  3. Step 3: Cross multiply
    1,552.30x = 2,328.86 × 811.96
  4. Step 4: Simplify right side
    1,552.30x = 1,890,941.17
  5. Step 5: Solve for x
    x = 1,890,941.17/1,552.30
  6. Step 6: Final answer
    x = 1,218.15

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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.