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Finding the Fourth Proportional to 1,301.54, 1,796.10 and 712.08

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Solution

The fourth proportional to 1,301.54, 1,796.10 and 712.08 is: 982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.54 : 1,796.10 = 712.08 : x
  2. Step 2: Convert to fraction form
    1,301.54/1,796.10 = 712.08/x
  3. Step 3: Cross multiply
    1,301.54x = 1,796.10 × 712.08
  4. Step 4: Simplify right side
    1,301.54x = 1,278,966.89
  5. Step 5: Solve for x
    x = 1,278,966.89/1,301.54
  6. Step 6: Final answer
    x = 982.66

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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.