Home / 1,542.39-2,313.73-431.81

Finding the Fourth Proportional to 1,542.39, 2,313.73 and 431.81

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Solution

The fourth proportional to 1,542.39, 2,313.73 and 431.81 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.39 : 2,313.73 = 431.81 : x
  2. Step 2: Convert to fraction form
    1,542.39/2,313.73 = 431.81/x
  3. Step 3: Cross multiply
    1,542.39x = 2,313.73 × 431.81
  4. Step 4: Simplify right side
    1,542.39x = 999,079.10
  5. Step 5: Solve for x
    x = 999,079.10/1,542.39
  6. Step 6: Final answer
    x = 647.75

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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.