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Finding the Fourth Proportional to 654.51, 903.23 and 355.76

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Solution

The fourth proportional to 654.51, 903.23 and 355.76 is: 490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.51 : 903.23 = 355.76 : x
  2. Step 2: Convert to fraction form
    654.51/903.23 = 355.76/x
  3. Step 3: Cross multiply
    654.51x = 903.23 × 355.76
  4. Step 4: Simplify right side
    654.51x = 321,333.10
  5. Step 5: Solve for x
    x = 321,333.10/654.51
  6. Step 6: Final answer
    x = 490.95

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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.