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Finding the Fourth Proportional to 720.49, 994.26 and 425.77

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Solution

The fourth proportional to 720.49, 994.26 and 425.77 is: 587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.49 : 994.26 = 425.77 : x
  2. Step 2: Convert to fraction form
    720.49/994.26 = 425.77/x
  3. Step 3: Cross multiply
    720.49x = 994.26 × 425.77
  4. Step 4: Simplify right side
    720.49x = 423,326.08
  5. Step 5: Solve for x
    x = 423,326.08/720.49
  6. Step 6: Final answer
    x = 587.55

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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.