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Finding the Fourth Proportional to 718.32, 990.08 and 496.80

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Solution

The fourth proportional to 718.32, 990.08 and 496.80 is: 684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.32 : 990.08 = 496.80 : x
  2. Step 2: Convert to fraction form
    718.32/990.08 = 496.80/x
  3. Step 3: Cross multiply
    718.32x = 990.08 × 496.80
  4. Step 4: Simplify right side
    718.32x = 491,871.74
  5. Step 5: Solve for x
    x = 491,871.74/718.32
  6. Step 6: Final answer
    x = 684.75

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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.