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Finding the Fourth Proportional to 718.38, 991.55 and 407.98

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Solution

The fourth proportional to 718.38, 991.55 and 407.98 is: 563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.38 : 991.55 = 407.98 : x
  2. Step 2: Convert to fraction form
    718.38/991.55 = 407.98/x
  3. Step 3: Cross multiply
    718.38x = 991.55 × 407.98
  4. Step 4: Simplify right side
    718.38x = 404,532.57
  5. Step 5: Solve for x
    x = 404,532.57/718.38
  6. Step 6: Final answer
    x = 563.12

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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.