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Finding the Fourth Proportional to 2,212.59, 3,319.45 and 652.53

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Solution

The fourth proportional to 2,212.59, 3,319.45 and 652.53 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.59 : 3,319.45 = 652.53 : x
  2. Step 2: Convert to fraction form
    2,212.59/3,319.45 = 652.53/x
  3. Step 3: Cross multiply
    2,212.59x = 3,319.45 × 652.53
  4. Step 4: Simplify right side
    2,212.59x = 2,166,035.30
  5. Step 5: Solve for x
    x = 2,166,035.30/2,212.59
  6. Step 6: Final answer
    x = 978.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.