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Finding the Fourth Proportional to 1,224.58, 1,836.98 and 531.26

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Solution

The fourth proportional to 1,224.58, 1,836.98 and 531.26 is: 796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.58 : 1,836.98 = 531.26 : x
  2. Step 2: Convert to fraction form
    1,224.58/1,836.98 = 531.26/x
  3. Step 3: Cross multiply
    1,224.58x = 1,836.98 × 531.26
  4. Step 4: Simplify right side
    1,224.58x = 975,913.99
  5. Step 5: Solve for x
    x = 975,913.99/1,224.58
  6. Step 6: Final answer
    x = 796.94

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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.