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Finding the Fourth Proportional to 654.56, 903.22 and 374.77

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Solution

The fourth proportional to 654.56, 903.22 and 374.77 is: 517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.56 : 903.22 = 374.77 : x
  2. Step 2: Convert to fraction form
    654.56/903.22 = 374.77/x
  3. Step 3: Cross multiply
    654.56x = 903.22 × 374.77
  4. Step 4: Simplify right side
    654.56x = 338,499.76
  5. Step 5: Solve for x
    x = 338,499.76/654.56
  6. Step 6: Final answer
    x = 517.14

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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.