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Finding the Fourth Proportional to 718.31, 1,077.47 and 205.31

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Solution

The fourth proportional to 718.31, 1,077.47 and 205.31 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.31 : 1,077.47 = 205.31 : x
  2. Step 2: Convert to fraction form
    718.31/1,077.47 = 205.31/x
  3. Step 3: Cross multiply
    718.31x = 1,077.47 × 205.31
  4. Step 4: Simplify right side
    718.31x = 221,218.57
  5. Step 5: Solve for x
    x = 221,218.57/718.31
  6. Step 6: Final answer
    x = 307.97

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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.