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Finding the Fourth Proportional to 908.33, 1,362.23 and 497.65

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Solution

The fourth proportional to 908.33, 1,362.23 and 497.65 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.33 : 1,362.23 = 497.65 : x
  2. Step 2: Convert to fraction form
    908.33/1,362.23 = 497.65/x
  3. Step 3: Cross multiply
    908.33x = 1,362.23 × 497.65
  4. Step 4: Simplify right side
    908.33x = 677,913.76
  5. Step 5: Solve for x
    x = 677,913.76/908.33
  6. Step 6: Final answer
    x = 746.33

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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.