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Finding the Fourth Proportional to 1,186.93, 1,781.49 and 602.34

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Solution

The fourth proportional to 1,186.93, 1,781.49 and 602.34 is: 904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.93 : 1,781.49 = 602.34 : x
  2. Step 2: Convert to fraction form
    1,186.93/1,781.49 = 602.34/x
  3. Step 3: Cross multiply
    1,186.93x = 1,781.49 × 602.34
  4. Step 4: Simplify right side
    1,186.93x = 1,073,059.67
  5. Step 5: Solve for x
    x = 1,073,059.67/1,186.93
  6. Step 6: Final answer
    x = 904.06

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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.