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Finding the Fourth Proportional to 838.61, 1,258.25 and 376.07

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Solution

The fourth proportional to 838.61, 1,258.25 and 376.07 is: 564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.61 : 1,258.25 = 376.07 : x
  2. Step 2: Convert to fraction form
    838.61/1,258.25 = 376.07/x
  3. Step 3: Cross multiply
    838.61x = 1,258.25 × 376.07
  4. Step 4: Simplify right side
    838.61x = 473,181.91
  5. Step 5: Solve for x
    x = 473,181.91/838.61
  6. Step 6: Final answer
    x = 564.25

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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.