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Finding the Fourth Proportional to 654.90, 903.80 and 375.22

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Solution

The fourth proportional to 654.90, 903.80 and 375.22 is: 517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 903.80 = 375.22 : x
  2. Step 2: Convert to fraction form
    654.90/903.80 = 375.22/x
  3. Step 3: Cross multiply
    654.90x = 903.80 × 375.22
  4. Step 4: Simplify right side
    654.90x = 339,127.03
  5. Step 5: Solve for x
    x = 339,127.03/654.90
  6. Step 6: Final answer
    x = 517.83

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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.