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Finding the Fourth Proportional to 1,248.84, 1,722.68 and 912.31

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Solution

The fourth proportional to 1,248.84, 1,722.68 and 912.31 is: 1,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.84 : 1,722.68 = 912.31 : x
  2. Step 2: Convert to fraction form
    1,248.84/1,722.68 = 912.31/x
  3. Step 3: Cross multiply
    1,248.84x = 1,722.68 × 912.31
  4. Step 4: Simplify right side
    1,248.84x = 1,571,605.02
  5. Step 5: Solve for x
    x = 1,571,605.02/1,248.84
  6. Step 6: Final answer
    x = 1,258.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.