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Finding the Fourth Proportional to 508.05, 691.70 and 506.48

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Solution

The fourth proportional to 508.05, 691.70 and 506.48 is: 689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.05 : 691.70 = 506.48 : x
  2. Step 2: Convert to fraction form
    508.05/691.70 = 506.48/x
  3. Step 3: Cross multiply
    508.05x = 691.70 × 506.48
  4. Step 4: Simplify right side
    508.05x = 350,326.23
  5. Step 5: Solve for x
    x = 350,326.23/508.05
  6. Step 6: Final answer
    x = 689.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.