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Finding the Fourth Proportional to 908.80, 1,369.57 and 864.88

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Solution

The fourth proportional to 908.80, 1,369.57 and 864.88 is: 1,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.80 : 1,369.57 = 864.88 : x
  2. Step 2: Convert to fraction form
    908.80/1,369.57 = 864.88/x
  3. Step 3: Cross multiply
    908.80x = 1,369.57 × 864.88
  4. Step 4: Simplify right side
    908.80x = 1,184,513.70
  5. Step 5: Solve for x
    x = 1,184,513.70/908.80
  6. Step 6: Final answer
    x = 1,303.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.