Home / 1,542.30-2,313.51-446.77

Finding the Fourth Proportional to 1,542.30, 2,313.51 and 446.77

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Solution

The fourth proportional to 1,542.30, 2,313.51 and 446.77 is: 670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.30 : 2,313.51 = 446.77 : x
  2. Step 2: Convert to fraction form
    1,542.30/2,313.51 = 446.77/x
  3. Step 3: Cross multiply
    1,542.30x = 2,313.51 × 446.77
  4. Step 4: Simplify right side
    1,542.30x = 1,033,606.86
  5. Step 5: Solve for x
    x = 1,033,606.86/1,542.30
  6. Step 6: Final answer
    x = 670.17

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1.5x scale

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.