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Finding the Fourth Proportional to 783.95, 1,176.06 and 321.71

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Solution

The fourth proportional to 783.95, 1,176.06 and 321.71 is: 482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.95 : 1,176.06 = 321.71 : x
  2. Step 2: Convert to fraction form
    783.95/1,176.06 = 321.71/x
  3. Step 3: Cross multiply
    783.95x = 1,176.06 × 321.71
  4. Step 4: Simplify right side
    783.95x = 378,350.26
  5. Step 5: Solve for x
    x = 378,350.26/783.95
  6. Step 6: Final answer
    x = 482.62

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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.