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Finding the Fourth Proportional to 980.79, 1,351.54 and 700.24

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Solution

The fourth proportional to 980.79, 1,351.54 and 700.24 is: 964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.79 : 1,351.54 = 700.24 : x
  2. Step 2: Convert to fraction form
    980.79/1,351.54 = 700.24/x
  3. Step 3: Cross multiply
    980.79x = 1,351.54 × 700.24
  4. Step 4: Simplify right side
    980.79x = 946,398.99
  5. Step 5: Solve for x
    x = 946,398.99/980.79
  6. Step 6: Final answer
    x = 964.93

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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.