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Finding the Fourth Proportional to 720.72, 995.52 and 596.88

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Solution

The fourth proportional to 720.72, 995.52 and 596.88 is: 824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.72 : 995.52 = 596.88 : x
  2. Step 2: Convert to fraction form
    720.72/995.52 = 596.88/x
  3. Step 3: Cross multiply
    720.72x = 995.52 × 596.88
  4. Step 4: Simplify right side
    720.72x = 594,205.98
  5. Step 5: Solve for x
    x = 594,205.98/720.72
  6. Step 6: Final answer
    x = 824.46

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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.