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Finding the Fourth Proportional to 460.57, 636.66 and 330.70

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Solution

The fourth proportional to 460.57, 636.66 and 330.70 is: 457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.57 : 636.66 = 330.70 : x
  2. Step 2: Convert to fraction form
    460.57/636.66 = 330.70/x
  3. Step 3: Cross multiply
    460.57x = 636.66 × 330.70
  4. Step 4: Simplify right side
    460.57x = 210,543.46
  5. Step 5: Solve for x
    x = 210,543.46/460.57
  6. Step 6: Final answer
    x = 457.14

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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.