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Finding the Fourth Proportional to 979.80, 1,470.44 and 493.26

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Solution

The fourth proportional to 979.80, 1,470.44 and 493.26 is: 740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.80 : 1,470.44 = 493.26 : x
  2. Step 2: Convert to fraction form
    979.80/1,470.44 = 493.26/x
  3. Step 3: Cross multiply
    979.80x = 1,470.44 × 493.26
  4. Step 4: Simplify right side
    979.80x = 725,309.23
  5. Step 5: Solve for x
    x = 725,309.23/979.80
  6. Step 6: Final answer
    x = 740.26

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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.