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Finding the Fourth Proportional to 463.04, 695.26 and 398.75

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Solution

The fourth proportional to 463.04, 695.26 and 398.75 is: 598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 695.26 = 398.75 : x
  2. Step 2: Convert to fraction form
    463.04/695.26 = 398.75/x
  3. Step 3: Cross multiply
    463.04x = 695.26 × 398.75
  4. Step 4: Simplify right side
    463.04x = 277,234.93
  5. Step 5: Solve for x
    x = 277,234.93/463.04
  6. Step 6: Final answer
    x = 598.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.