Home / 1,193.24-1,789.50-462.64

Finding the Fourth Proportional to 1,193.24, 1,789.50 and 462.64

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Solution

The fourth proportional to 1,193.24, 1,789.50 and 462.64 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.24 : 1,789.50 = 462.64 : x
  2. Step 2: Convert to fraction form
    1,193.24/1,789.50 = 462.64/x
  3. Step 3: Cross multiply
    1,193.24x = 1,789.50 × 462.64
  4. Step 4: Simplify right side
    1,193.24x = 827,894.28
  5. Step 5: Solve for x
    x = 827,894.28/1,193.24
  6. Step 6: Final answer
    x = 693.82

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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.