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Finding the Fourth Proportional to 894.83, 1,340.08 and 605.39

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Solution

The fourth proportional to 894.83, 1,340.08 and 605.39 is: 906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.83 : 1,340.08 = 605.39 : x
  2. Step 2: Convert to fraction form
    894.83/1,340.08 = 605.39/x
  3. Step 3: Cross multiply
    894.83x = 1,340.08 × 605.39
  4. Step 4: Simplify right side
    894.83x = 811,262.82
  5. Step 5: Solve for x
    x = 811,262.82/894.83
  6. Step 6: Final answer
    x = 906.62

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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.