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Finding the Fourth Proportional to 801.20, 1,106.20 and 614.36

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Solution

The fourth proportional to 801.20, 1,106.20 and 614.36 is: 848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.20 : 1,106.20 = 614.36 : x
  2. Step 2: Convert to fraction form
    801.20/1,106.20 = 614.36/x
  3. Step 3: Cross multiply
    801.20x = 1,106.20 × 614.36
  4. Step 4: Simplify right side
    801.20x = 679,596.43
  5. Step 5: Solve for x
    x = 679,596.43/801.20
  6. Step 6: Final answer
    x = 848.23

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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.