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Finding the Fourth Proportional to 515.14, 766.73 and 503.80

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Solution

The fourth proportional to 515.14, 766.73 and 503.80 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.14 : 766.73 = 503.80 : x
  2. Step 2: Convert to fraction form
    515.14/766.73 = 503.80/x
  3. Step 3: Cross multiply
    515.14x = 766.73 × 503.80
  4. Step 4: Simplify right side
    515.14x = 386,278.57
  5. Step 5: Solve for x
    x = 386,278.57/515.14
  6. Step 6: Final answer
    x = 749.85

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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.