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Finding the Fourth Proportional to 654.71, 903.41 and 374.90

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Solution

The fourth proportional to 654.71, 903.41 and 374.90 is: 517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.71 : 903.41 = 374.90 : x
  2. Step 2: Convert to fraction form
    654.71/903.41 = 374.90/x
  3. Step 3: Cross multiply
    654.71x = 903.41 × 374.90
  4. Step 4: Simplify right side
    654.71x = 338,690.20
  5. Step 5: Solve for x
    x = 338,690.20/654.71
  6. Step 6: Final answer
    x = 517.31

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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.