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Finding the Fourth Proportional to 1,259.62, 1,890.38 and 908.05

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Solution

The fourth proportional to 1,259.62, 1,890.38 and 908.05 is: 1,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.62 : 1,890.38 = 908.05 : x
  2. Step 2: Convert to fraction form
    1,259.62/1,890.38 = 908.05/x
  3. Step 3: Cross multiply
    1,259.62x = 1,890.38 × 908.05
  4. Step 4: Simplify right side
    1,259.62x = 1,716,557.10
  5. Step 5: Solve for x
    x = 1,716,557.10/1,259.62
  6. Step 6: Final answer
    x = 1,362.76

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1.5x scale

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.