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Finding the Fourth Proportional to 1,440.57, 2,160.84 and 453.47

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Solution

The fourth proportional to 1,440.57, 2,160.84 and 453.47 is: 680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.57 : 2,160.84 = 453.47 : x
  2. Step 2: Convert to fraction form
    1,440.57/2,160.84 = 453.47/x
  3. Step 3: Cross multiply
    1,440.57x = 2,160.84 × 453.47
  4. Step 4: Simplify right side
    1,440.57x = 979,868.39
  5. Step 5: Solve for x
    x = 979,868.39/1,440.57
  6. Step 6: Final answer
    x = 680.20

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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.