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Finding the Fourth Proportional to 1,248.66, 1,723.32 and 875.46

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Solution

The fourth proportional to 1,248.66, 1,723.32 and 875.46 is: 1,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.66 : 1,723.32 = 875.46 : x
  2. Step 2: Convert to fraction form
    1,248.66/1,723.32 = 875.46/x
  3. Step 3: Cross multiply
    1,248.66x = 1,723.32 × 875.46
  4. Step 4: Simplify right side
    1,248.66x = 1,508,697.73
  5. Step 5: Solve for x
    x = 1,508,697.73/1,248.66
  6. Step 6: Final answer
    x = 1,208.25

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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.