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Finding the Fourth Proportional to 880.78, 1,321.98 and 556.78

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Solution

The fourth proportional to 880.78, 1,321.98 and 556.78 is: 835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.78 : 1,321.98 = 556.78 : x
  2. Step 2: Convert to fraction form
    880.78/1,321.98 = 556.78/x
  3. Step 3: Cross multiply
    880.78x = 1,321.98 × 556.78
  4. Step 4: Simplify right side
    880.78x = 736,052.02
  5. Step 5: Solve for x
    x = 736,052.02/880.78
  6. Step 6: Final answer
    x = 835.68

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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.