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Finding the Fourth Proportional to 478.71, 659.94 and 360.71

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Solution

The fourth proportional to 478.71, 659.94 and 360.71 is: 497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.71 : 659.94 = 360.71 : x
  2. Step 2: Convert to fraction form
    478.71/659.94 = 360.71/x
  3. Step 3: Cross multiply
    478.71x = 659.94 × 360.71
  4. Step 4: Simplify right side
    478.71x = 238,046.96
  5. Step 5: Solve for x
    x = 238,046.96/478.71
  6. Step 6: Final answer
    x = 497.27

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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.