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Finding the Fourth Proportional to 784.85, 1,177.11 and 297.77

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Solution

The fourth proportional to 784.85, 1,177.11 and 297.77 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.85 : 1,177.11 = 297.77 : x
  2. Step 2: Convert to fraction form
    784.85/1,177.11 = 297.77/x
  3. Step 3: Cross multiply
    784.85x = 1,177.11 × 297.77
  4. Step 4: Simplify right side
    784.85x = 350,502.16
  5. Step 5: Solve for x
    x = 350,502.16/784.85
  6. Step 6: Final answer
    x = 446.59

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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.