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Finding the Fourth Proportional to 984.75, 1,358.97 and 565.22

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Solution

The fourth proportional to 984.75, 1,358.97 and 565.22 is: 780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 1,358.97 = 565.22 : x
  2. Step 2: Convert to fraction form
    984.75/1,358.97 = 565.22/x
  3. Step 3: Cross multiply
    984.75x = 1,358.97 × 565.22
  4. Step 4: Simplify right side
    984.75x = 768,117.02
  5. Step 5: Solve for x
    x = 768,117.02/984.75
  6. Step 6: Final answer
    x = 780.01

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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.