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Finding the Fourth Proportional to 893.15, 1,229.57 and 768.31

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Solution

The fourth proportional to 893.15, 1,229.57 and 768.31 is: 1,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.15 : 1,229.57 = 768.31 : x
  2. Step 2: Convert to fraction form
    893.15/1,229.57 = 768.31/x
  3. Step 3: Cross multiply
    893.15x = 1,229.57 × 768.31
  4. Step 4: Simplify right side
    893.15x = 944,689.77
  5. Step 5: Solve for x
    x = 944,689.77/893.15
  6. Step 6: Final answer
    x = 1,057.70

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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.