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Finding the Fourth Proportional to 654.03, 901.73 and 496.82

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Solution

The fourth proportional to 654.03, 901.73 and 496.82 is: 684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.03 : 901.73 = 496.82 : x
  2. Step 2: Convert to fraction form
    654.03/901.73 = 496.82/x
  3. Step 3: Cross multiply
    654.03x = 901.73 × 496.82
  4. Step 4: Simplify right side
    654.03x = 448,000.99
  5. Step 5: Solve for x
    x = 448,000.99/654.03
  6. Step 6: Final answer
    x = 684.99

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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.