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Finding the Fourth Proportional to 893.27, 1,340.42 and 528.77

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Solution

The fourth proportional to 893.27, 1,340.42 and 528.77 is: 793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.27 : 1,340.42 = 528.77 : x
  2. Step 2: Convert to fraction form
    893.27/1,340.42 = 528.77/x
  3. Step 3: Cross multiply
    893.27x = 1,340.42 × 528.77
  4. Step 4: Simplify right side
    893.27x = 708,771.24
  5. Step 5: Solve for x
    x = 708,771.24/893.27
  6. Step 6: Final answer
    x = 793.46

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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.