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Finding the Fourth Proportional to 654.52, 899.40 and 523.30

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Solution

The fourth proportional to 654.52, 899.40 and 523.30 is: 719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 899.40 = 523.30 : x
  2. Step 2: Convert to fraction form
    654.52/899.40 = 523.30/x
  3. Step 3: Cross multiply
    654.52x = 899.40 × 523.30
  4. Step 4: Simplify right side
    654.52x = 470,656.02
  5. Step 5: Solve for x
    x = 470,656.02/654.52
  6. Step 6: Final answer
    x = 719.09

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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.