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Finding the Fourth Proportional to 893.40, 1,231.74 and 578.13

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Solution

The fourth proportional to 893.40, 1,231.74 and 578.13 is: 797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.40 : 1,231.74 = 578.13 : x
  2. Step 2: Convert to fraction form
    893.40/1,231.74 = 578.13/x
  3. Step 3: Cross multiply
    893.40x = 1,231.74 × 578.13
  4. Step 4: Simplify right side
    893.40x = 712,105.85
  5. Step 5: Solve for x
    x = 712,105.85/893.40
  6. Step 6: Final answer
    x = 797.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.