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Finding the Fourth Proportional to 784.89, 1,177.81 and 298.35

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Solution

The fourth proportional to 784.89, 1,177.81 and 298.35 is: 447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.89 : 1,177.81 = 298.35 : x
  2. Step 2: Convert to fraction form
    784.89/1,177.81 = 298.35/x
  3. Step 3: Cross multiply
    784.89x = 1,177.81 × 298.35
  4. Step 4: Simplify right side
    784.89x = 351,398.87
  5. Step 5: Solve for x
    x = 351,398.87/784.89
  6. Step 6: Final answer
    x = 447.70

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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.