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Finding the Fourth Proportional to 979.84, 1,352.32 and 784.80

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Solution

The fourth proportional to 979.84, 1,352.32 and 784.80 is: 1,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.84 : 1,352.32 = 784.80 : x
  2. Step 2: Convert to fraction form
    979.84/1,352.32 = 784.80/x
  3. Step 3: Cross multiply
    979.84x = 1,352.32 × 784.80
  4. Step 4: Simplify right side
    979.84x = 1,061,300.74
  5. Step 5: Solve for x
    x = 1,061,300.74/979.84
  6. Step 6: Final answer
    x = 1,083.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.