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Finding the Fourth Proportional to 718.92, 993.69 and 523.80

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Solution

The fourth proportional to 718.92, 993.69 and 523.80 is: 724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.92 : 993.69 = 523.80 : x
  2. Step 2: Convert to fraction form
    718.92/993.69 = 523.80/x
  3. Step 3: Cross multiply
    718.92x = 993.69 × 523.80
  4. Step 4: Simplify right side
    718.92x = 520,494.82
  5. Step 5: Solve for x
    x = 520,494.82/718.92
  6. Step 6: Final answer
    x = 724.00

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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.