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Finding the Fourth Proportional to 463.12, 695.01 and 326.30

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Solution

The fourth proportional to 463.12, 695.01 and 326.30 is: 489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.12 : 695.01 = 326.30 : x
  2. Step 2: Convert to fraction form
    463.12/695.01 = 326.30/x
  3. Step 3: Cross multiply
    463.12x = 695.01 × 326.30
  4. Step 4: Simplify right side
    463.12x = 226,779.51
  5. Step 5: Solve for x
    x = 226,779.51/463.12
  6. Step 6: Final answer
    x = 489.68

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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.