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Finding the Fourth Proportional to 908.87, 1,363.47 and 497.78

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Solution

The fourth proportional to 908.87, 1,363.47 and 497.78 is: 746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.87 : 1,363.47 = 497.78 : x
  2. Step 2: Convert to fraction form
    908.87/1,363.47 = 497.78/x
  3. Step 3: Cross multiply
    908.87x = 1,363.47 × 497.78
  4. Step 4: Simplify right side
    908.87x = 678,701.28
  5. Step 5: Solve for x
    x = 678,701.28/908.87
  6. Step 6: Final answer
    x = 746.76

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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.