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Finding the Fourth Proportional to 715.98, 987.95 and 401.23

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Solution

The fourth proportional to 715.98, 987.95 and 401.23 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.98 : 987.95 = 401.23 : x
  2. Step 2: Convert to fraction form
    715.98/987.95 = 401.23/x
  3. Step 3: Cross multiply
    715.98x = 987.95 × 401.23
  4. Step 4: Simplify right side
    715.98x = 396,395.18
  5. Step 5: Solve for x
    x = 396,395.18/715.98
  6. Step 6: Final answer
    x = 553.64

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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.