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Finding the Fourth Proportional to 979.40, 1,461.29 and 851.40

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Solution

The fourth proportional to 979.40, 1,461.29 and 851.40 is: 1,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.40 : 1,461.29 = 851.40 : x
  2. Step 2: Convert to fraction form
    979.40/1,461.29 = 851.40/x
  3. Step 3: Cross multiply
    979.40x = 1,461.29 × 851.40
  4. Step 4: Simplify right side
    979.40x = 1,244,142.31
  5. Step 5: Solve for x
    x = 1,244,142.31/979.40
  6. Step 6: Final answer
    x = 1,270.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.