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Finding the Fourth Proportional to 730.69, 1,008.39 and 564.64

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Solution

The fourth proportional to 730.69, 1,008.39 and 564.64 is: 779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,008.39 = 564.64 : x
  2. Step 2: Convert to fraction form
    730.69/1,008.39 = 564.64/x
  3. Step 3: Cross multiply
    730.69x = 1,008.39 × 564.64
  4. Step 4: Simplify right side
    730.69x = 569,377.33
  5. Step 5: Solve for x
    x = 569,377.33/730.69
  6. Step 6: Final answer
    x = 779.23

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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.