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Finding the Fourth Proportional to 908.60, 1,363.12 and 259.38

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Solution

The fourth proportional to 908.60, 1,363.12 and 259.38 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.60 : 1,363.12 = 259.38 : x
  2. Step 2: Convert to fraction form
    908.60/1,363.12 = 259.38/x
  3. Step 3: Cross multiply
    908.60x = 1,363.12 × 259.38
  4. Step 4: Simplify right side
    908.60x = 353,566.07
  5. Step 5: Solve for x
    x = 353,566.07/908.60
  6. Step 6: Final answer
    x = 389.13

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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.