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Finding the Fourth Proportional to 1,648.39, 2,471.66 and 675.17

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Solution

The fourth proportional to 1,648.39, 2,471.66 and 675.17 is: 1,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.39 : 2,471.66 = 675.17 : x
  2. Step 2: Convert to fraction form
    1,648.39/2,471.66 = 675.17/x
  3. Step 3: Cross multiply
    1,648.39x = 2,471.66 × 675.17
  4. Step 4: Simplify right side
    1,648.39x = 1,668,787.31
  5. Step 5: Solve for x
    x = 1,668,787.31/1,648.39
  6. Step 6: Final answer
    x = 1,012.38

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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.