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Finding the Fourth Proportional to 908.19, 1,362.87 and 904.83

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Solution

The fourth proportional to 908.19, 1,362.87 and 904.83 is: 1,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.19 : 1,362.87 = 904.83 : x
  2. Step 2: Convert to fraction form
    908.19/1,362.87 = 904.83/x
  3. Step 3: Cross multiply
    908.19x = 1,362.87 × 904.83
  4. Step 4: Simplify right side
    908.19x = 1,233,165.66
  5. Step 5: Solve for x
    x = 1,233,165.66/908.19
  6. Step 6: Final answer
    x = 1,357.83

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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.