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Finding the Fourth Proportional to 784.35, 1,177.11 and 298.35

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Solution

The fourth proportional to 784.35, 1,177.11 and 298.35 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.35 : 1,177.11 = 298.35 : x
  2. Step 2: Convert to fraction form
    784.35/1,177.11 = 298.35/x
  3. Step 3: Cross multiply
    784.35x = 1,177.11 × 298.35
  4. Step 4: Simplify right side
    784.35x = 351,190.77
  5. Step 5: Solve for x
    x = 351,190.77/784.35
  6. Step 6: Final answer
    x = 447.75

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1.5x scale

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.