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Finding the Fourth Proportional to 557.78, 769.09 and 417.67

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Solution

The fourth proportional to 557.78, 769.09 and 417.67 is: 575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 769.09 = 417.67 : x
  2. Step 2: Convert to fraction form
    557.78/769.09 = 417.67/x
  3. Step 3: Cross multiply
    557.78x = 769.09 × 417.67
  4. Step 4: Simplify right side
    557.78x = 321,225.82
  5. Step 5: Solve for x
    x = 321,225.82/557.78
  6. Step 6: Final answer
    x = 575.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.