Home / 1,457.30-2,011.09-794.15

Finding the Fourth Proportional to 1,457.30, 2,011.09 and 794.15

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Solution

The fourth proportional to 1,457.30, 2,011.09 and 794.15 is: 1,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.30 : 2,011.09 = 794.15 : x
  2. Step 2: Convert to fraction form
    1,457.30/2,011.09 = 794.15/x
  3. Step 3: Cross multiply
    1,457.30x = 2,011.09 × 794.15
  4. Step 4: Simplify right side
    1,457.30x = 1,597,116.54
  5. Step 5: Solve for x
    x = 1,597,116.54/1,457.30
  6. Step 6: Final answer
    x = 1,095.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.