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Finding the Fourth Proportional to 494.60, 683.38 and 477.08

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Solution

The fourth proportional to 494.60, 683.38 and 477.08 is: 659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.60 : 683.38 = 477.08 : x
  2. Step 2: Convert to fraction form
    494.60/683.38 = 477.08/x
  3. Step 3: Cross multiply
    494.60x = 683.38 × 477.08
  4. Step 4: Simplify right side
    494.60x = 326,026.93
  5. Step 5: Solve for x
    x = 326,026.93/494.60
  6. Step 6: Final answer
    x = 659.17

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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.