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Finding the Fourth Proportional to 765.03, 1,047.80 and 720.13

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Solution

The fourth proportional to 765.03, 1,047.80 and 720.13 is: 986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.03 : 1,047.80 = 720.13 : x
  2. Step 2: Convert to fraction form
    765.03/1,047.80 = 720.13/x
  3. Step 3: Cross multiply
    765.03x = 1,047.80 × 720.13
  4. Step 4: Simplify right side
    765.03x = 754,553.36
  5. Step 5: Solve for x
    x = 754,553.36/765.03
  6. Step 6: Final answer
    x = 986.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.