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Finding the Fourth Proportional to 801.66, 1,197.03 and 756.09

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Solution

The fourth proportional to 801.66, 1,197.03 and 756.09 is: 1,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.66 : 1,197.03 = 756.09 : x
  2. Step 2: Convert to fraction form
    801.66/1,197.03 = 756.09/x
  3. Step 3: Cross multiply
    801.66x = 1,197.03 × 756.09
  4. Step 4: Simplify right side
    801.66x = 905,062.41
  5. Step 5: Solve for x
    x = 905,062.41/801.66
  6. Step 6: Final answer
    x = 1,128.99

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.