Home / 1,022.84-1,411.55-580.66

Finding the Fourth Proportional to 1,022.84, 1,411.55 and 580.66

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Solution

The fourth proportional to 1,022.84, 1,411.55 and 580.66 is: 801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.84 : 1,411.55 = 580.66 : x
  2. Step 2: Convert to fraction form
    1,022.84/1,411.55 = 580.66/x
  3. Step 3: Cross multiply
    1,022.84x = 1,411.55 × 580.66
  4. Step 4: Simplify right side
    1,022.84x = 819,630.62
  5. Step 5: Solve for x
    x = 819,630.62/1,022.84
  6. Step 6: Final answer
    x = 801.33

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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.