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Finding the Fourth Proportional to 769.66, 1,154.01 and 509.38

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Solution

The fourth proportional to 769.66, 1,154.01 and 509.38 is: 763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.66 : 1,154.01 = 509.38 : x
  2. Step 2: Convert to fraction form
    769.66/1,154.01 = 509.38/x
  3. Step 3: Cross multiply
    769.66x = 1,154.01 × 509.38
  4. Step 4: Simplify right side
    769.66x = 587,829.61
  5. Step 5: Solve for x
    x = 587,829.61/769.66
  6. Step 6: Final answer
    x = 763.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.