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Finding the Fourth Proportional to 654.90, 903.87 and 393.18

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Solution

The fourth proportional to 654.90, 903.87 and 393.18 is: 542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 903.87 = 393.18 : x
  2. Step 2: Convert to fraction form
    654.90/903.87 = 393.18/x
  3. Step 3: Cross multiply
    654.90x = 903.87 × 393.18
  4. Step 4: Simplify right side
    654.90x = 355,383.61
  5. Step 5: Solve for x
    x = 355,383.61/654.90
  6. Step 6: Final answer
    x = 542.65

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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.