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Finding the Fourth Proportional to 720.16, 993.87 and 425.66

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Solution

The fourth proportional to 720.16, 993.87 and 425.66 is: 587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.16 : 993.87 = 425.66 : x
  2. Step 2: Convert to fraction form
    720.16/993.87 = 425.66/x
  3. Step 3: Cross multiply
    720.16x = 993.87 × 425.66
  4. Step 4: Simplify right side
    720.16x = 423,045.73
  5. Step 5: Solve for x
    x = 423,045.73/720.16
  6. Step 6: Final answer
    x = 587.44

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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.