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Finding the Fourth Proportional to 720.54, 994.59 and 425.77

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Solution

The fourth proportional to 720.54, 994.59 and 425.77 is: 587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.54 : 994.59 = 425.77 : x
  2. Step 2: Convert to fraction form
    720.54/994.59 = 425.77/x
  3. Step 3: Cross multiply
    720.54x = 994.59 × 425.77
  4. Step 4: Simplify right side
    720.54x = 423,464.10
  5. Step 5: Solve for x
    x = 423,464.10/720.54
  6. Step 6: Final answer
    x = 587.70

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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.