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Finding the Fourth Proportional to 837.81, 1,258.66 and 491.38

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Solution

The fourth proportional to 837.81, 1,258.66 and 491.38 is: 738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.81 : 1,258.66 = 491.38 : x
  2. Step 2: Convert to fraction form
    837.81/1,258.66 = 491.38/x
  3. Step 3: Cross multiply
    837.81x = 1,258.66 × 491.38
  4. Step 4: Simplify right side
    837.81x = 618,477.82
  5. Step 5: Solve for x
    x = 618,477.82/837.81
  6. Step 6: Final answer
    x = 738.21

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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.