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Finding the Fourth Proportional to 784.92, 1,176.97 and 297.71

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Solution

The fourth proportional to 784.92, 1,176.97 and 297.71 is: 446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,176.97 = 297.71 : x
  2. Step 2: Convert to fraction form
    784.92/1,176.97 = 297.71/x
  3. Step 3: Cross multiply
    784.92x = 1,176.97 × 297.71
  4. Step 4: Simplify right side
    784.92x = 350,395.74
  5. Step 5: Solve for x
    x = 350,395.74/784.92
  6. Step 6: Final answer
    x = 446.41

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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.