Home / 1,192.17-1,786.43-542.15

Finding the Fourth Proportional to 1,192.17, 1,786.43 and 542.15

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Solution

The fourth proportional to 1,192.17, 1,786.43 and 542.15 is: 812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.17 : 1,786.43 = 542.15 : x
  2. Step 2: Convert to fraction form
    1,192.17/1,786.43 = 542.15/x
  3. Step 3: Cross multiply
    1,192.17x = 1,786.43 × 542.15
  4. Step 4: Simplify right side
    1,192.17x = 968,513.02
  5. Step 5: Solve for x
    x = 968,513.02/1,192.17
  6. Step 6: Final answer
    x = 812.40

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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.