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Finding the Fourth Proportional to 693.12, 955.92 and 460

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Solution

The fourth proportional to 693.12, 955.92 and 460 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.12 : 955.92 = 460 : x
  2. Step 2: Convert to fraction form
    693.12/955.92 = 460/x
  3. Step 3: Cross multiply
    693.12x = 955.92 × 460
  4. Step 4: Simplify right side
    693.12x = 439,723.20
  5. Step 5: Solve for x
    x = 439,723.20/693.12
  6. Step 6: Final answer
    x = 634.41

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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.