Home / 1,421.19-2,129.79-542.77

Finding the Fourth Proportional to 1,421.19, 2,129.79 and 542.77

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Solution

The fourth proportional to 1,421.19, 2,129.79 and 542.77 is: 813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.19 : 2,129.79 = 542.77 : x
  2. Step 2: Convert to fraction form
    1,421.19/2,129.79 = 542.77/x
  3. Step 3: Cross multiply
    1,421.19x = 2,129.79 × 542.77
  4. Step 4: Simplify right side
    1,421.19x = 1,155,986.12
  5. Step 5: Solve for x
    x = 1,155,986.12/1,421.19
  6. Step 6: Final answer
    x = 813.39

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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.