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Finding the Fourth Proportional to 893.05, 1,231.84 and 578.19

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Solution

The fourth proportional to 893.05, 1,231.84 and 578.19 is: 797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.05 : 1,231.84 = 578.19 : x
  2. Step 2: Convert to fraction form
    893.05/1,231.84 = 578.19/x
  3. Step 3: Cross multiply
    893.05x = 1,231.84 × 578.19
  4. Step 4: Simplify right side
    893.05x = 712,237.57
  5. Step 5: Solve for x
    x = 712,237.57/893.05
  6. Step 6: Final answer
    x = 797.53

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Double scale
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1.5x scale

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.