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Finding the Fourth Proportional to 893.87, 1,340.41 and 524.04

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Solution

The fourth proportional to 893.87, 1,340.41 and 524.04 is: 785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.87 : 1,340.41 = 524.04 : x
  2. Step 2: Convert to fraction form
    893.87/1,340.41 = 524.04/x
  3. Step 3: Cross multiply
    893.87x = 1,340.41 × 524.04
  4. Step 4: Simplify right side
    893.87x = 702,428.46
  5. Step 5: Solve for x
    x = 702,428.46/893.87
  6. Step 6: Final answer
    x = 785.83

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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.