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Finding the Fourth Proportional to 895.81, 1,344.45 and 791.98

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Solution

The fourth proportional to 895.81, 1,344.45 and 791.98 is: 1,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.81 : 1,344.45 = 791.98 : x
  2. Step 2: Convert to fraction form
    895.81/1,344.45 = 791.98/x
  3. Step 3: Cross multiply
    895.81x = 1,344.45 × 791.98
  4. Step 4: Simplify right side
    895.81x = 1,064,772.66
  5. Step 5: Solve for x
    x = 1,064,772.66/895.81
  6. Step 6: Final answer
    x = 1,188.62

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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.