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Finding the Fourth Proportional to 478.35, 657.41 and 429.75

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Solution

The fourth proportional to 478.35, 657.41 and 429.75 is: 590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.35 : 657.41 = 429.75 : x
  2. Step 2: Convert to fraction form
    478.35/657.41 = 429.75/x
  3. Step 3: Cross multiply
    478.35x = 657.41 × 429.75
  4. Step 4: Simplify right side
    478.35x = 282,519.80
  5. Step 5: Solve for x
    x = 282,519.80/478.35
  6. Step 6: Final answer
    x = 590.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.