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Finding the Fourth Proportional to 1,055.52, 1,581.66 and 622.20

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Solution

The fourth proportional to 1,055.52, 1,581.66 and 622.20 is: 932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.52 : 1,581.66 = 622.20 : x
  2. Step 2: Convert to fraction form
    1,055.52/1,581.66 = 622.20/x
  3. Step 3: Cross multiply
    1,055.52x = 1,581.66 × 622.20
  4. Step 4: Simplify right side
    1,055.52x = 984,108.85
  5. Step 5: Solve for x
    x = 984,108.85/1,055.52
  6. Step 6: Final answer
    x = 932.35

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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.