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Finding the Fourth Proportional to 743.31, 1,114.29 and 310.77

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Solution

The fourth proportional to 743.31, 1,114.29 and 310.77 is: 465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.31 : 1,114.29 = 310.77 : x
  2. Step 2: Convert to fraction form
    743.31/1,114.29 = 310.77/x
  3. Step 3: Cross multiply
    743.31x = 1,114.29 × 310.77
  4. Step 4: Simplify right side
    743.31x = 346,287.90
  5. Step 5: Solve for x
    x = 346,287.90/743.31
  6. Step 6: Final answer
    x = 465.87

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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.