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Finding the Fourth Proportional to 573.38, 859.61 and 280.87

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Solution

The fourth proportional to 573.38, 859.61 and 280.87 is: 421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.38 : 859.61 = 280.87 : x
  2. Step 2: Convert to fraction form
    573.38/859.61 = 280.87/x
  3. Step 3: Cross multiply
    573.38x = 859.61 × 280.87
  4. Step 4: Simplify right side
    573.38x = 241,437.21
  5. Step 5: Solve for x
    x = 241,437.21/573.38
  6. Step 6: Final answer
    x = 421.08

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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.