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Finding the Fourth Proportional to 711.19, 979.40 and 610.80

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Solution

The fourth proportional to 711.19, 979.40 and 610.80 is: 841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.19 : 979.40 = 610.80 : x
  2. Step 2: Convert to fraction form
    711.19/979.40 = 610.80/x
  3. Step 3: Cross multiply
    711.19x = 979.40 × 610.80
  4. Step 4: Simplify right side
    711.19x = 598,210.79
  5. Step 5: Solve for x
    x = 598,210.79/711.19
  6. Step 6: Final answer
    x = 841.14

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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.