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Finding the Fourth Proportional to 887.72, 1,224.96 and 494.78

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Solution

The fourth proportional to 887.72, 1,224.96 and 494.78 is: 682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.72 : 1,224.96 = 494.78 : x
  2. Step 2: Convert to fraction form
    887.72/1,224.96 = 494.78/x
  3. Step 3: Cross multiply
    887.72x = 1,224.96 × 494.78
  4. Step 4: Simplify right side
    887.72x = 606,085.71
  5. Step 5: Solve for x
    x = 606,085.71/887.72
  6. Step 6: Final answer
    x = 682.74

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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.