Home / 1,542.17-2,313.35-446.69

Finding the Fourth Proportional to 1,542.17, 2,313.35 and 446.69

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Solution

The fourth proportional to 1,542.17, 2,313.35 and 446.69 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.17 : 2,313.35 = 446.69 : x
  2. Step 2: Convert to fraction form
    1,542.17/2,313.35 = 446.69/x
  3. Step 3: Cross multiply
    1,542.17x = 2,313.35 × 446.69
  4. Step 4: Simplify right side
    1,542.17x = 1,033,350.31
  5. Step 5: Solve for x
    x = 1,033,350.31/1,542.17
  6. Step 6: Final answer
    x = 670.06

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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.