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Finding the Fourth Proportional to 908.87, 1,363.52 and 259.59

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Solution

The fourth proportional to 908.87, 1,363.52 and 259.59 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.87 : 1,363.52 = 259.59 : x
  2. Step 2: Convert to fraction form
    908.87/1,363.52 = 259.59/x
  3. Step 3: Cross multiply
    908.87x = 1,363.52 × 259.59
  4. Step 4: Simplify right side
    908.87x = 353,954.86
  5. Step 5: Solve for x
    x = 353,954.86/908.87
  6. Step 6: Final answer
    x = 389.45

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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.