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Finding the Fourth Proportional to 500.97, 689.88 and 390.26

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Solution

The fourth proportional to 500.97, 689.88 and 390.26 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.97 : 689.88 = 390.26 : x
  2. Step 2: Convert to fraction form
    500.97/689.88 = 390.26/x
  3. Step 3: Cross multiply
    500.97x = 689.88 × 390.26
  4. Step 4: Simplify right side
    500.97x = 269,232.57
  5. Step 5: Solve for x
    x = 269,232.57/500.97
  6. Step 6: Final answer
    x = 537.42

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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.