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Finding the Fourth Proportional to 511.08, 762.69 and 456.39

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Solution

The fourth proportional to 511.08, 762.69 and 456.39 is: 681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.08 : 762.69 = 456.39 : x
  2. Step 2: Convert to fraction form
    511.08/762.69 = 456.39/x
  3. Step 3: Cross multiply
    511.08x = 762.69 × 456.39
  4. Step 4: Simplify right side
    511.08x = 348,084.09
  5. Step 5: Solve for x
    x = 348,084.09/511.08
  6. Step 6: Final answer
    x = 681.08

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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.