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Finding the Fourth Proportional to 506.42, 759.63 and 398.78

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Solution

The fourth proportional to 506.42, 759.63 and 398.78 is: 598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.42 : 759.63 = 398.78 : x
  2. Step 2: Convert to fraction form
    506.42/759.63 = 398.78/x
  3. Step 3: Cross multiply
    506.42x = 759.63 × 398.78
  4. Step 4: Simplify right side
    506.42x = 302,925.25
  5. Step 5: Solve for x
    x = 302,925.25/506.42
  6. Step 6: Final answer
    x = 598.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.