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Finding the Fourth Proportional to 564.28, 845.93 and 290.23

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Solution

The fourth proportional to 564.28, 845.93 and 290.23 is: 435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.28 : 845.93 = 290.23 : x
  2. Step 2: Convert to fraction form
    564.28/845.93 = 290.23/x
  3. Step 3: Cross multiply
    564.28x = 845.93 × 290.23
  4. Step 4: Simplify right side
    564.28x = 245,512.81
  5. Step 5: Solve for x
    x = 245,512.81/564.28
  6. Step 6: Final answer
    x = 435.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.