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Finding the Fourth Proportional to 1,014.14, 1,400.21 and 895.20

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Solution

The fourth proportional to 1,014.14, 1,400.21 and 895.20 is: 1,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.14 : 1,400.21 = 895.20 : x
  2. Step 2: Convert to fraction form
    1,014.14/1,400.21 = 895.20/x
  3. Step 3: Cross multiply
    1,014.14x = 1,400.21 × 895.20
  4. Step 4: Simplify right side
    1,014.14x = 1,253,463.52
  5. Step 5: Solve for x
    x = 1,253,463.52/1,014.14
  6. Step 6: Final answer
    x = 1,235.99

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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.