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Finding the Fourth Proportional to 460.72, 635.98 and 294.92

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Solution

The fourth proportional to 460.72, 635.98 and 294.92 is: 407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 635.98 = 294.92 : x
  2. Step 2: Convert to fraction form
    460.72/635.98 = 294.92/x
  3. Step 3: Cross multiply
    460.72x = 635.98 × 294.92
  4. Step 4: Simplify right side
    460.72x = 187,563.22
  5. Step 5: Solve for x
    x = 187,563.22/460.72
  6. Step 6: Final answer
    x = 407.11

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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.