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Finding the Fourth Proportional to 479.39, 657.66 and 456.14

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Solution

The fourth proportional to 479.39, 657.66 and 456.14 is: 625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.39 : 657.66 = 456.14 : x
  2. Step 2: Convert to fraction form
    479.39/657.66 = 456.14/x
  3. Step 3: Cross multiply
    479.39x = 657.66 × 456.14
  4. Step 4: Simplify right side
    479.39x = 299,988.39
  5. Step 5: Solve for x
    x = 299,988.39/479.39
  6. Step 6: Final answer
    x = 625.78

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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.