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Finding the Fourth Proportional to 654.48, 903.04 and 405.68

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Solution

The fourth proportional to 654.48, 903.04 and 405.68 is: 559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 903.04 = 405.68 : x
  2. Step 2: Convert to fraction form
    654.48/903.04 = 405.68/x
  3. Step 3: Cross multiply
    654.48x = 903.04 × 405.68
  4. Step 4: Simplify right side
    654.48x = 366,345.27
  5. Step 5: Solve for x
    x = 366,345.27/654.48
  6. Step 6: Final answer
    x = 559.75

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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.