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Finding the Fourth Proportional to 1,311.98, 1,810.62 and 864.14

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Solution

The fourth proportional to 1,311.98, 1,810.62 and 864.14 is: 1,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.98 : 1,810.62 = 864.14 : x
  2. Step 2: Convert to fraction form
    1,311.98/1,810.62 = 864.14/x
  3. Step 3: Cross multiply
    1,311.98x = 1,810.62 × 864.14
  4. Step 4: Simplify right side
    1,311.98x = 1,564,629.17
  5. Step 5: Solve for x
    x = 1,564,629.17/1,311.98
  6. Step 6: Final answer
    x = 1,192.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.