Home / 1,191.40-1,786.98-542.08

Finding the Fourth Proportional to 1,191.40, 1,786.98 and 542.08

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Solution

The fourth proportional to 1,191.40, 1,786.98 and 542.08 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.40 : 1,786.98 = 542.08 : x
  2. Step 2: Convert to fraction form
    1,191.40/1,786.98 = 542.08/x
  3. Step 3: Cross multiply
    1,191.40x = 1,786.98 × 542.08
  4. Step 4: Simplify right side
    1,191.40x = 968,686.12
  5. Step 5: Solve for x
    x = 968,686.12/1,191.40
  6. Step 6: Final answer
    x = 813.07

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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.