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Finding the Fourth Proportional to 1,225.33, 1,838.23 and 531.88

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Solution

The fourth proportional to 1,225.33, 1,838.23 and 531.88 is: 797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.33 : 1,838.23 = 531.88 : x
  2. Step 2: Convert to fraction form
    1,225.33/1,838.23 = 531.88/x
  3. Step 3: Cross multiply
    1,225.33x = 1,838.23 × 531.88
  4. Step 4: Simplify right side
    1,225.33x = 977,707.25
  5. Step 5: Solve for x
    x = 977,707.25/1,225.33
  6. Step 6: Final answer
    x = 797.92

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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.