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Finding the Fourth Proportional to 511.65, 763.04 and 435.11

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Solution

The fourth proportional to 511.65, 763.04 and 435.11 is: 648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 763.04 = 435.11 : x
  2. Step 2: Convert to fraction form
    511.65/763.04 = 435.11/x
  3. Step 3: Cross multiply
    511.65x = 763.04 × 435.11
  4. Step 4: Simplify right side
    511.65x = 332,003.61
  5. Step 5: Solve for x
    x = 332,003.61/511.65
  6. Step 6: Final answer
    x = 648.89

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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.