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Finding the Fourth Proportional to 887.72, 1,225.08 and 494.81

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Solution

The fourth proportional to 887.72, 1,225.08 and 494.81 is: 682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.72 : 1,225.08 = 494.81 : x
  2. Step 2: Convert to fraction form
    887.72/1,225.08 = 494.81/x
  3. Step 3: Cross multiply
    887.72x = 1,225.08 × 494.81
  4. Step 4: Simplify right side
    887.72x = 606,173.24
  5. Step 5: Solve for x
    x = 606,173.24/887.72
  6. Step 6: Final answer
    x = 682.84

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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.