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Finding the Fourth Proportional to 718.64, 992.06 and 469.97

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Solution

The fourth proportional to 718.64, 992.06 and 469.97 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.64 : 992.06 = 469.97 : x
  2. Step 2: Convert to fraction form
    718.64/992.06 = 469.97/x
  3. Step 3: Cross multiply
    718.64x = 992.06 × 469.97
  4. Step 4: Simplify right side
    718.64x = 466,231.13
  5. Step 5: Solve for x
    x = 466,231.13/718.64
  6. Step 6: Final answer
    x = 648.77

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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.