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Finding the Fourth Proportional to 478.60, 659.01 and 360.75

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Solution

The fourth proportional to 478.60, 659.01 and 360.75 is: 496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 659.01 = 360.75 : x
  2. Step 2: Convert to fraction form
    478.60/659.01 = 360.75/x
  3. Step 3: Cross multiply
    478.60x = 659.01 × 360.75
  4. Step 4: Simplify right side
    478.60x = 237,737.86
  5. Step 5: Solve for x
    x = 237,737.86/478.60
  6. Step 6: Final answer
    x = 496.74

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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.