Home / 1,516.13-2,272.83-542.00

Finding the Fourth Proportional to 1,516.13, 2,272.83 and 542.00

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Solution

The fourth proportional to 1,516.13, 2,272.83 and 542.00 is: 812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.13 : 2,272.83 = 542.00 : x
  2. Step 2: Convert to fraction form
    1,516.13/2,272.83 = 542.00/x
  3. Step 3: Cross multiply
    1,516.13x = 2,272.83 × 542.00
  4. Step 4: Simplify right side
    1,516.13x = 1,231,877.51
  5. Step 5: Solve for x
    x = 1,231,877.51/1,516.13
  6. Step 6: Final answer
    x = 812.52

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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.