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Finding the Fourth Proportional to 887.82, 1,332.32 and 310.70

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Solution

The fourth proportional to 887.82, 1,332.32 and 310.70 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.82 : 1,332.32 = 310.70 : x
  2. Step 2: Convert to fraction form
    887.82/1,332.32 = 310.70/x
  3. Step 3: Cross multiply
    887.82x = 1,332.32 × 310.70
  4. Step 4: Simplify right side
    887.82x = 413,945.94
  5. Step 5: Solve for x
    x = 413,945.94/887.82
  6. Step 6: Final answer
    x = 466.25

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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.