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Finding the Fourth Proportional to 893.35, 1,232.53 and 578.85

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Solution

The fourth proportional to 893.35, 1,232.53 and 578.85 is: 798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.35 : 1,232.53 = 578.85 : x
  2. Step 2: Convert to fraction form
    893.35/1,232.53 = 578.85/x
  3. Step 3: Cross multiply
    893.35x = 1,232.53 × 578.85
  4. Step 4: Simplify right side
    893.35x = 713,454.11
  5. Step 5: Solve for x
    x = 713,454.11/893.35
  6. Step 6: Final answer
    x = 798.63

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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.