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Finding the Fourth Proportional to 511.30, 761.17 and 508.26

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Solution

The fourth proportional to 511.30, 761.17 and 508.26 is: 756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 761.17 = 508.26 : x
  2. Step 2: Convert to fraction form
    511.30/761.17 = 508.26/x
  3. Step 3: Cross multiply
    511.30x = 761.17 × 508.26
  4. Step 4: Simplify right side
    511.30x = 386,872.26
  5. Step 5: Solve for x
    x = 386,872.26/511.30
  6. Step 6: Final answer
    x = 756.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.