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Finding the Fourth Proportional to 783.48, 1,169.50 and 726.38

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Solution

The fourth proportional to 783.48, 1,169.50 and 726.38 is: 1,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.48 : 1,169.50 = 726.38 : x
  2. Step 2: Convert to fraction form
    783.48/1,169.50 = 726.38/x
  3. Step 3: Cross multiply
    783.48x = 1,169.50 × 726.38
  4. Step 4: Simplify right side
    783.48x = 849,495.56
  5. Step 5: Solve for x
    x = 849,495.56/783.48
  6. Step 6: Final answer
    x = 1,084.26

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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.