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Finding the Fourth Proportional to 561.30, 838.36 and 438.26

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Solution

The fourth proportional to 561.30, 838.36 and 438.26 is: 654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.30 : 838.36 = 438.26 : x
  2. Step 2: Convert to fraction form
    561.30/838.36 = 438.26/x
  3. Step 3: Cross multiply
    561.30x = 838.36 × 438.26
  4. Step 4: Simplify right side
    561.30x = 367,419.65
  5. Step 5: Solve for x
    x = 367,419.65/561.30
  6. Step 6: Final answer
    x = 654.59

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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.