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Finding the Fourth Proportional to 460.80, 635.40 and 456.12

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Solution

The fourth proportional to 460.80, 635.40 and 456.12 is: 628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 635.40 = 456.12 : x
  2. Step 2: Convert to fraction form
    460.80/635.40 = 456.12/x
  3. Step 3: Cross multiply
    460.80x = 635.40 × 456.12
  4. Step 4: Simplify right side
    460.80x = 289,818.65
  5. Step 5: Solve for x
    x = 289,818.65/460.80
  6. Step 6: Final answer
    x = 628.95

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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.