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Finding the Fourth Proportional to 784.85, 1,177.86 and 298.85

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Solution

The fourth proportional to 784.85, 1,177.86 and 298.85 is: 448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.85 : 1,177.86 = 298.85 : x
  2. Step 2: Convert to fraction form
    784.85/1,177.86 = 298.85/x
  3. Step 3: Cross multiply
    784.85x = 1,177.86 × 298.85
  4. Step 4: Simplify right side
    784.85x = 352,003.46
  5. Step 5: Solve for x
    x = 352,003.46/784.85
  6. Step 6: Final answer
    x = 448.50

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Double scale
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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.