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Finding the Fourth Proportional to 887.31, 1,223.64 and 588.24

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Solution

The fourth proportional to 887.31, 1,223.64 and 588.24 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.31 : 1,223.64 = 588.24 : x
  2. Step 2: Convert to fraction form
    887.31/1,223.64 = 588.24/x
  3. Step 3: Cross multiply
    887.31x = 1,223.64 × 588.24
  4. Step 4: Simplify right side
    887.31x = 719,793.99
  5. Step 5: Solve for x
    x = 719,793.99/887.31
  6. Step 6: Final answer
    x = 811.21

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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.