Home / 1,542.50-2,313.47-446.60

Finding the Fourth Proportional to 1,542.50, 2,313.47 and 446.60

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Solution

The fourth proportional to 1,542.50, 2,313.47 and 446.60 is: 669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.50 : 2,313.47 = 446.60 : x
  2. Step 2: Convert to fraction form
    1,542.50/2,313.47 = 446.60/x
  3. Step 3: Cross multiply
    1,542.50x = 2,313.47 × 446.60
  4. Step 4: Simplify right side
    1,542.50x = 1,033,193.47
  5. Step 5: Solve for x
    x = 1,033,193.47/1,542.50
  6. Step 6: Final answer
    x = 669.82

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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.