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Finding the Fourth Proportional to 511.75, 763.66 and 457.08

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Solution

The fourth proportional to 511.75, 763.66 and 457.08 is: 682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 763.66 = 457.08 : x
  2. Step 2: Convert to fraction form
    511.75/763.66 = 457.08/x
  3. Step 3: Cross multiply
    511.75x = 763.66 × 457.08
  4. Step 4: Simplify right side
    511.75x = 349,053.71
  5. Step 5: Solve for x
    x = 349,053.71/511.75
  6. Step 6: Final answer
    x = 682.08

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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.