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Finding the Fourth Proportional to 460.59, 691.47 and 298.95

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Solution

The fourth proportional to 460.59, 691.47 and 298.95 is: 448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 691.47 = 298.95 : x
  2. Step 2: Convert to fraction form
    460.59/691.47 = 298.95/x
  3. Step 3: Cross multiply
    460.59x = 691.47 × 298.95
  4. Step 4: Simplify right side
    460.59x = 206,714.96
  5. Step 5: Solve for x
    x = 206,714.96/460.59
  6. Step 6: Final answer
    x = 448.80

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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.