Home / 1,440.57-2,159.16-824.70

Finding the Fourth Proportional to 1,440.57, 2,159.16 and 824.70

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Solution

The fourth proportional to 1,440.57, 2,159.16 and 824.70 is: 1,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.57 : 2,159.16 = 824.70 : x
  2. Step 2: Convert to fraction form
    1,440.57/2,159.16 = 824.70/x
  3. Step 3: Cross multiply
    1,440.57x = 2,159.16 × 824.70
  4. Step 4: Simplify right side
    1,440.57x = 1,780,659.25
  5. Step 5: Solve for x
    x = 1,780,659.25/1,440.57
  6. Step 6: Final answer
    x = 1,236.08

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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.