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Finding the Fourth Proportional to 1,225.39, 1,838.06 and 575.66

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Solution

The fourth proportional to 1,225.39, 1,838.06 and 575.66 is: 863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.39 : 1,838.06 = 575.66 : x
  2. Step 2: Convert to fraction form
    1,225.39/1,838.06 = 575.66/x
  3. Step 3: Cross multiply
    1,225.39x = 1,838.06 × 575.66
  4. Step 4: Simplify right side
    1,225.39x = 1,058,097.62
  5. Step 5: Solve for x
    x = 1,058,097.62/1,225.39
  6. Step 6: Final answer
    x = 863.48

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