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Finding the Fourth Proportional to 887.47, 1,330.84 and 310.21

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Solution

The fourth proportional to 887.47, 1,330.84 and 310.21 is: 465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.47 : 1,330.84 = 310.21 : x
  2. Step 2: Convert to fraction form
    887.47/1,330.84 = 310.21/x
  3. Step 3: Cross multiply
    887.47x = 1,330.84 × 310.21
  4. Step 4: Simplify right side
    887.47x = 412,839.88
  5. Step 5: Solve for x
    x = 412,839.88/887.47
  6. Step 6: Final answer
    x = 465.19

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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.