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Finding the Fourth Proportional to 654.35, 902.82 and 405.68

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Solution

The fourth proportional to 654.35, 902.82 and 405.68 is: 559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.35 : 902.82 = 405.68 : x
  2. Step 2: Convert to fraction form
    654.35/902.82 = 405.68/x
  3. Step 3: Cross multiply
    654.35x = 902.82 × 405.68
  4. Step 4: Simplify right side
    654.35x = 366,256.02
  5. Step 5: Solve for x
    x = 366,256.02/654.35
  6. Step 6: Final answer
    x = 559.72

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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.