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Finding the Fourth Proportional to 652.74, 899.40 and 539.44

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Solution

The fourth proportional to 652.74, 899.40 and 539.44 is: 743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.74 : 899.40 = 539.44 : x
  2. Step 2: Convert to fraction form
    652.74/899.40 = 539.44/x
  3. Step 3: Cross multiply
    652.74x = 899.40 × 539.44
  4. Step 4: Simplify right side
    652.74x = 485,172.34
  5. Step 5: Solve for x
    x = 485,172.34/652.74
  6. Step 6: Final answer
    x = 743.29

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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.