Home / 1,542.13-2,313.21-446.50

Finding the Fourth Proportional to 1,542.13, 2,313.21 and 446.50

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Solution

The fourth proportional to 1,542.13, 2,313.21 and 446.50 is: 669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.13 : 2,313.21 = 446.50 : x
  2. Step 2: Convert to fraction form
    1,542.13/2,313.21 = 446.50/x
  3. Step 3: Cross multiply
    1,542.13x = 2,313.21 × 446.50
  4. Step 4: Simplify right side
    1,542.13x = 1,032,848.27
  5. Step 5: Solve for x
    x = 1,032,848.27/1,542.13
  6. Step 6: Final answer
    x = 669.75

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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.