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Finding the Fourth Proportional to 654.40, 903.50 and 405.99

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Solution

The fourth proportional to 654.40, 903.50 and 405.99 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.40 : 903.50 = 405.99 : x
  2. Step 2: Convert to fraction form
    654.40/903.50 = 405.99/x
  3. Step 3: Cross multiply
    654.40x = 903.50 × 405.99
  4. Step 4: Simplify right side
    654.40x = 366,811.97
  5. Step 5: Solve for x
    x = 366,811.97/654.40
  6. Step 6: Final answer
    x = 560.53

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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.