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Finding the Fourth Proportional to 887.98, 1,332.15 and 310.78

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Solution

The fourth proportional to 887.98, 1,332.15 and 310.78 is: 466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.98 : 1,332.15 = 310.78 : x
  2. Step 2: Convert to fraction form
    887.98/1,332.15 = 310.78/x
  3. Step 3: Cross multiply
    887.98x = 1,332.15 × 310.78
  4. Step 4: Simplify right side
    887.98x = 414,005.58
  5. Step 5: Solve for x
    x = 414,005.58/887.98
  6. Step 6: Final answer
    x = 466.23

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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.