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Finding the Fourth Proportional to 1,248.23, 1,868.88 and 809.99

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Solution

The fourth proportional to 1,248.23, 1,868.88 and 809.99 is: 1,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.23 : 1,868.88 = 809.99 : x
  2. Step 2: Convert to fraction form
    1,248.23/1,868.88 = 809.99/x
  3. Step 3: Cross multiply
    1,248.23x = 1,868.88 × 809.99
  4. Step 4: Simplify right side
    1,248.23x = 1,513,778.78
  5. Step 5: Solve for x
    x = 1,513,778.78/1,248.23
  6. Step 6: Final answer
    x = 1,212.74

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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.