Home / 1,022.46-1,411.03-724.25

Finding the Fourth Proportional to 1,022.46, 1,411.03 and 724.25

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Solution

The fourth proportional to 1,022.46, 1,411.03 and 724.25 is: 999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.46 : 1,411.03 = 724.25 : x
  2. Step 2: Convert to fraction form
    1,022.46/1,411.03 = 724.25/x
  3. Step 3: Cross multiply
    1,022.46x = 1,411.03 × 724.25
  4. Step 4: Simplify right side
    1,022.46x = 1,021,931.42
  5. Step 5: Solve for x
    x = 1,021,931.42/1,022.46
  6. Step 6: Final answer
    x = 999.48

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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.