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Finding the Fourth Proportional to 1,424.17, 2,137.06 and 774.95

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Solution

The fourth proportional to 1,424.17, 2,137.06 and 774.95 is: 1,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.17 : 2,137.06 = 774.95 : x
  2. Step 2: Convert to fraction form
    1,424.17/2,137.06 = 774.95/x
  3. Step 3: Cross multiply
    1,424.17x = 2,137.06 × 774.95
  4. Step 4: Simplify right side
    1,424.17x = 1,656,114.65
  5. Step 5: Solve for x
    x = 1,656,114.65/1,424.17
  6. Step 6: Final answer
    x = 1,162.86

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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.