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Finding the Fourth Proportional to 506.14, 697.38 and 417.94

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Solution

The fourth proportional to 506.14, 697.38 and 417.94 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.14 : 697.38 = 417.94 : x
  2. Step 2: Convert to fraction form
    506.14/697.38 = 417.94/x
  3. Step 3: Cross multiply
    506.14x = 697.38 × 417.94
  4. Step 4: Simplify right side
    506.14x = 291,463.00
  5. Step 5: Solve for x
    x = 291,463.00/506.14
  6. Step 6: Final answer
    x = 575.85

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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.