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Finding the Fourth Proportional to 718.90, 992.06 and 404.16

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Solution

The fourth proportional to 718.90, 992.06 and 404.16 is: 557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.90 : 992.06 = 404.16 : x
  2. Step 2: Convert to fraction form
    718.90/992.06 = 404.16/x
  3. Step 3: Cross multiply
    718.90x = 992.06 × 404.16
  4. Step 4: Simplify right side
    718.90x = 400,950.97
  5. Step 5: Solve for x
    x = 400,950.97/718.90
  6. Step 6: Final answer
    x = 557.73

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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.