Home / 1,409.20-2,111.76-542.56

Finding the Fourth Proportional to 1,409.20, 2,111.76 and 542.56

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Solution

The fourth proportional to 1,409.20, 2,111.76 and 542.56 is: 813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.20 : 2,111.76 = 542.56 : x
  2. Step 2: Convert to fraction form
    1,409.20/2,111.76 = 542.56/x
  3. Step 3: Cross multiply
    1,409.20x = 2,111.76 × 542.56
  4. Step 4: Simplify right side
    1,409.20x = 1,145,756.51
  5. Step 5: Solve for x
    x = 1,145,756.51/1,409.20
  6. Step 6: Final answer
    x = 813.05

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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.