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Finding the Fourth Proportional to 460.59, 635.13 and 320.86

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Solution

The fourth proportional to 460.59, 635.13 and 320.86 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 635.13 = 320.86 : x
  2. Step 2: Convert to fraction form
    460.59/635.13 = 320.86/x
  3. Step 3: Cross multiply
    460.59x = 635.13 × 320.86
  4. Step 4: Simplify right side
    460.59x = 203,787.81
  5. Step 5: Solve for x
    x = 203,787.81/460.59
  6. Step 6: Final answer
    x = 442.45

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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.