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Finding the Fourth Proportional to 763.69, 1,147.09 and 504.06

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Solution

The fourth proportional to 763.69, 1,147.09 and 504.06 is: 757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.69 : 1,147.09 = 504.06 : x
  2. Step 2: Convert to fraction form
    763.69/1,147.09 = 504.06/x
  3. Step 3: Cross multiply
    763.69x = 1,147.09 × 504.06
  4. Step 4: Simplify right side
    763.69x = 578,202.19
  5. Step 5: Solve for x
    x = 578,202.19/763.69
  6. Step 6: Final answer
    x = 757.12

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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.