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Finding the Fourth Proportional to 460.12, 693.33 and 380.74

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Solution

The fourth proportional to 460.12, 693.33 and 380.74 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.12 : 693.33 = 380.74 : x
  2. Step 2: Convert to fraction form
    460.12/693.33 = 380.74/x
  3. Step 3: Cross multiply
    460.12x = 693.33 × 380.74
  4. Step 4: Simplify right side
    460.12x = 263,978.46
  5. Step 5: Solve for x
    x = 263,978.46/460.12
  6. Step 6: Final answer
    x = 573.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.