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Finding the Fourth Proportional to 572.56, 858.16 and 280

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Solution

The fourth proportional to 572.56, 858.16 and 280 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.56 : 858.16 = 280 : x
  2. Step 2: Convert to fraction form
    572.56/858.16 = 280/x
  3. Step 3: Cross multiply
    572.56x = 858.16 × 280
  4. Step 4: Simplify right side
    572.56x = 240,284.80
  5. Step 5: Solve for x
    x = 240,284.80/572.56
  6. Step 6: Final answer
    x = 419.67

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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.