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Finding the Fourth Proportional to 718.91, 992.12 and 424.20

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Solution

The fourth proportional to 718.91, 992.12 and 424.20 is: 585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.91 : 992.12 = 424.20 : x
  2. Step 2: Convert to fraction form
    718.91/992.12 = 424.20/x
  3. Step 3: Cross multiply
    718.91x = 992.12 × 424.20
  4. Step 4: Simplify right side
    718.91x = 420,855.18
  5. Step 5: Solve for x
    x = 420,855.18/718.91
  6. Step 6: Final answer
    x = 585.41

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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.