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Finding the Fourth Proportional to 506.19, 697.91 and 412.84

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Solution

The fourth proportional to 506.19, 697.91 and 412.84 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.19 : 697.91 = 412.84 : x
  2. Step 2: Convert to fraction form
    506.19/697.91 = 412.84/x
  3. Step 3: Cross multiply
    506.19x = 697.91 × 412.84
  4. Step 4: Simplify right side
    506.19x = 288,121.36
  5. Step 5: Solve for x
    x = 288,121.36/506.19
  6. Step 6: Final answer
    x = 569.20

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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.