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Finding the Fourth Proportional to 654.52, 903.08 and 374.76

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Solution

The fourth proportional to 654.52, 903.08 and 374.76 is: 517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 903.08 = 374.76 : x
  2. Step 2: Convert to fraction form
    654.52/903.08 = 374.76/x
  3. Step 3: Cross multiply
    654.52x = 903.08 × 374.76
  4. Step 4: Simplify right side
    654.52x = 338,438.26
  5. Step 5: Solve for x
    x = 338,438.26/654.52
  6. Step 6: Final answer
    x = 517.08

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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.