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Finding the Fourth Proportional to 895.74, 1,340.73 and 605.58

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Solution

The fourth proportional to 895.74, 1,340.73 and 605.58 is: 906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.74 : 1,340.73 = 605.58 : x
  2. Step 2: Convert to fraction form
    895.74/1,340.73 = 605.58/x
  3. Step 3: Cross multiply
    895.74x = 1,340.73 × 605.58
  4. Step 4: Simplify right side
    895.74x = 811,919.27
  5. Step 5: Solve for x
    x = 811,919.27/895.74
  6. Step 6: Final answer
    x = 906.42

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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.