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Finding the Fourth Proportional to 573.55, 859.66 and 261.45

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Solution

The fourth proportional to 573.55, 859.66 and 261.45 is: 391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.55 : 859.66 = 261.45 : x
  2. Step 2: Convert to fraction form
    573.55/859.66 = 261.45/x
  3. Step 3: Cross multiply
    573.55x = 859.66 × 261.45
  4. Step 4: Simplify right side
    573.55x = 224,758.11
  5. Step 5: Solve for x
    x = 224,758.11/573.55
  6. Step 6: Final answer
    x = 391.87

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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.