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Finding the Fourth Proportional to 506.32, 697.82 and 340.07

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Solution

The fourth proportional to 506.32, 697.82 and 340.07 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 697.82 = 340.07 : x
  2. Step 2: Convert to fraction form
    506.32/697.82 = 340.07/x
  3. Step 3: Cross multiply
    506.32x = 697.82 × 340.07
  4. Step 4: Simplify right side
    506.32x = 237,302.46
  5. Step 5: Solve for x
    x = 237,302.46/506.32
  6. Step 6: Final answer
    x = 468.68

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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.