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Finding the Fourth Proportional to 478.75, 659.05 and 429.61

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Solution

The fourth proportional to 478.75, 659.05 and 429.61 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.75 : 659.05 = 429.61 : x
  2. Step 2: Convert to fraction form
    478.75/659.05 = 429.61/x
  3. Step 3: Cross multiply
    478.75x = 659.05 × 429.61
  4. Step 4: Simplify right side
    478.75x = 283,134.47
  5. Step 5: Solve for x
    x = 283,134.47/478.75
  6. Step 6: Final answer
    x = 591.40

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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.