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Finding the Fourth Proportional to 1,224.68, 1,689.96 and 875.92

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Solution

The fourth proportional to 1,224.68, 1,689.96 and 875.92 is: 1,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,689.96 = 875.92 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,689.96 = 875.92/x
  3. Step 3: Cross multiply
    1,224.68x = 1,689.96 × 875.92
  4. Step 4: Simplify right side
    1,224.68x = 1,480,269.76
  5. Step 5: Solve for x
    x = 1,480,269.76/1,224.68
  6. Step 6: Final answer
    x = 1,208.70

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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.