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Finding the Fourth Proportional to 452.83, 680.01 and 280.51

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Solution

The fourth proportional to 452.83, 680.01 and 280.51 is: 421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.83 : 680.01 = 280.51 : x
  2. Step 2: Convert to fraction form
    452.83/680.01 = 280.51/x
  3. Step 3: Cross multiply
    452.83x = 680.01 × 280.51
  4. Step 4: Simplify right side
    452.83x = 190,749.61
  5. Step 5: Solve for x
    x = 190,749.61/452.83
  6. Step 6: Final answer
    x = 421.24

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