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Finding the Fourth Proportional to 654.77, 899.75 and 523.55

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Solution

The fourth proportional to 654.77, 899.75 and 523.55 is: 719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.77 : 899.75 = 523.55 : x
  2. Step 2: Convert to fraction form
    654.77/899.75 = 523.55/x
  3. Step 3: Cross multiply
    654.77x = 899.75 × 523.55
  4. Step 4: Simplify right side
    654.77x = 471,067.67
  5. Step 5: Solve for x
    x = 471,067.67/654.77
  6. Step 6: Final answer
    x = 719.44

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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.