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Finding the Fourth Proportional to 1,248.84, 1,725.12 and 999.78

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Solution

The fourth proportional to 1,248.84, 1,725.12 and 999.78 is: 1,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.84 : 1,725.12 = 999.78 : x
  2. Step 2: Convert to fraction form
    1,248.84/1,725.12 = 999.78/x
  3. Step 3: Cross multiply
    1,248.84x = 1,725.12 × 999.78
  4. Step 4: Simplify right side
    1,248.84x = 1,724,740.47
  5. Step 5: Solve for x
    x = 1,724,740.47/1,248.84
  6. Step 6: Final answer
    x = 1,381.07

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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.