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Finding the Fourth Proportional to 631.43, 946.66 and 387.66

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Solution

The fourth proportional to 631.43, 946.66 and 387.66 is: 581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.43 : 946.66 = 387.66 : x
  2. Step 2: Convert to fraction form
    631.43/946.66 = 387.66/x
  3. Step 3: Cross multiply
    631.43x = 946.66 × 387.66
  4. Step 4: Simplify right side
    631.43x = 366,982.22
  5. Step 5: Solve for x
    x = 366,982.22/631.43
  6. Step 6: Final answer
    x = 581.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.