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Finding the Fourth Proportional to 931.69, 1,397.59 and 282.43

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Solution

The fourth proportional to 931.69, 1,397.59 and 282.43 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.69 : 1,397.59 = 282.43 : x
  2. Step 2: Convert to fraction form
    931.69/1,397.59 = 282.43/x
  3. Step 3: Cross multiply
    931.69x = 1,397.59 × 282.43
  4. Step 4: Simplify right side
    931.69x = 394,717.14
  5. Step 5: Solve for x
    x = 394,717.14/931.69
  6. Step 6: Final answer
    x = 423.66

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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.