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Finding the Fourth Proportional to 654.59, 899.48 and 523.37

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Solution

The fourth proportional to 654.59, 899.48 and 523.37 is: 719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.59 : 899.48 = 523.37 : x
  2. Step 2: Convert to fraction form
    654.59/899.48 = 523.37/x
  3. Step 3: Cross multiply
    654.59x = 899.48 × 523.37
  4. Step 4: Simplify right side
    654.59x = 470,757.66
  5. Step 5: Solve for x
    x = 470,757.66/654.59
  6. Step 6: Final answer
    x = 719.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.