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Finding the Fourth Proportional to 908.12, 1,364.62 and 497.56

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Solution

The fourth proportional to 908.12, 1,364.62 and 497.56 is: 747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.12 : 1,364.62 = 497.56 : x
  2. Step 2: Convert to fraction form
    908.12/1,364.62 = 497.56/x
  3. Step 3: Cross multiply
    908.12x = 1,364.62 × 497.56
  4. Step 4: Simplify right side
    908.12x = 678,980.33
  5. Step 5: Solve for x
    x = 678,980.33/908.12
  6. Step 6: Final answer
    x = 747.68

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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.