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Finding the Fourth Proportional to 718.34, 991.05 and 407.66

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Solution

The fourth proportional to 718.34, 991.05 and 407.66 is: 562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.34 : 991.05 = 407.66 : x
  2. Step 2: Convert to fraction form
    718.34/991.05 = 407.66/x
  3. Step 3: Cross multiply
    718.34x = 991.05 × 407.66
  4. Step 4: Simplify right side
    718.34x = 404,011.44
  5. Step 5: Solve for x
    x = 404,011.44/718.34
  6. Step 6: Final answer
    x = 562.42

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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.