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Finding the Fourth Proportional to 506.42, 698.04 and 340.58

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Solution

The fourth proportional to 506.42, 698.04 and 340.58 is: 469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.42 : 698.04 = 340.58 : x
  2. Step 2: Convert to fraction form
    506.42/698.04 = 340.58/x
  3. Step 3: Cross multiply
    506.42x = 698.04 × 340.58
  4. Step 4: Simplify right side
    506.42x = 237,738.46
  5. Step 5: Solve for x
    x = 237,738.46/506.42
  6. Step 6: Final answer
    x = 469.45

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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.