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Finding the Fourth Proportional to 1,648.40, 2,472.33 and 723.71

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Solution

The fourth proportional to 1,648.40, 2,472.33 and 723.71 is: 1,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.40 : 2,472.33 = 723.71 : x
  2. Step 2: Convert to fraction form
    1,648.40/2,472.33 = 723.71/x
  3. Step 3: Cross multiply
    1,648.40x = 2,472.33 × 723.71
  4. Step 4: Simplify right side
    1,648.40x = 1,789,246.33
  5. Step 5: Solve for x
    x = 1,789,246.33/1,648.40
  6. Step 6: Final answer
    x = 1,085.44

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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.