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Finding the Fourth Proportional to 768.83, 1,062.11 and 710.51

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Solution

The fourth proportional to 768.83, 1,062.11 and 710.51 is: 981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.83 : 1,062.11 = 710.51 : x
  2. Step 2: Convert to fraction form
    768.83/1,062.11 = 710.51/x
  3. Step 3: Cross multiply
    768.83x = 1,062.11 × 710.51
  4. Step 4: Simplify right side
    768.83x = 754,636.24
  5. Step 5: Solve for x
    x = 754,636.24/768.83
  6. Step 6: Final answer
    x = 981.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.