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Finding the Fourth Proportional to 1,312.22, 1,966.96 and 582.31

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Solution

The fourth proportional to 1,312.22, 1,966.96 and 582.31 is: 872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.22 : 1,966.96 = 582.31 : x
  2. Step 2: Convert to fraction form
    1,312.22/1,966.96 = 582.31/x
  3. Step 3: Cross multiply
    1,312.22x = 1,966.96 × 582.31
  4. Step 4: Simplify right side
    1,312.22x = 1,145,380.48
  5. Step 5: Solve for x
    x = 1,145,380.48/1,312.22
  6. Step 6: Final answer
    x = 872.86

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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.