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Finding the Fourth Proportional to 659.80, 984.80 and 571.56

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Solution

The fourth proportional to 659.80, 984.80 and 571.56 is: 853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 984.80 = 571.56 : x
  2. Step 2: Convert to fraction form
    659.80/984.80 = 571.56/x
  3. Step 3: Cross multiply
    659.80x = 984.80 × 571.56
  4. Step 4: Simplify right side
    659.80x = 562,872.29
  5. Step 5: Solve for x
    x = 562,872.29/659.80
  6. Step 6: Final answer
    x = 853.10

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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.