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Finding the Fourth Proportional to 506.77, 699.15 and 332.21

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Solution

The fourth proportional to 506.77, 699.15 and 332.21 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.77 : 699.15 = 332.21 : x
  2. Step 2: Convert to fraction form
    506.77/699.15 = 332.21/x
  3. Step 3: Cross multiply
    506.77x = 699.15 × 332.21
  4. Step 4: Simplify right side
    506.77x = 232,264.62
  5. Step 5: Solve for x
    x = 232,264.62/506.77
  6. Step 6: Final answer
    x = 458.32

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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.