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Finding the Fourth Proportional to 984.26, 1,358.34 and 564.61

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Solution

The fourth proportional to 984.26, 1,358.34 and 564.61 is: 779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.26 : 1,358.34 = 564.61 : x
  2. Step 2: Convert to fraction form
    984.26/1,358.34 = 564.61/x
  3. Step 3: Cross multiply
    984.26x = 1,358.34 × 564.61
  4. Step 4: Simplify right side
    984.26x = 766,925.56
  5. Step 5: Solve for x
    x = 766,925.56/984.26
  6. Step 6: Final answer
    x = 779.19

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Double scale
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1.5x scale

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.