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Finding the Fourth Proportional to 569.04, 852.74 and 280.68

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Solution

The fourth proportional to 569.04, 852.74 and 280.68 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 852.74 = 280.68 : x
  2. Step 2: Convert to fraction form
    569.04/852.74 = 280.68/x
  3. Step 3: Cross multiply
    569.04x = 852.74 × 280.68
  4. Step 4: Simplify right side
    569.04x = 239,347.06
  5. Step 5: Solve for x
    x = 239,347.06/569.04
  6. Step 6: Final answer
    x = 420.62

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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.