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Finding the Fourth Proportional to 833.43, 1,151.22 and 677.10

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Solution

The fourth proportional to 833.43, 1,151.22 and 677.10 is: 935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.43 : 1,151.22 = 677.10 : x
  2. Step 2: Convert to fraction form
    833.43/1,151.22 = 677.10/x
  3. Step 3: Cross multiply
    833.43x = 1,151.22 × 677.10
  4. Step 4: Simplify right side
    833.43x = 779,491.06
  5. Step 5: Solve for x
    x = 779,491.06/833.43
  6. Step 6: Final answer
    x = 935.28

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Double scale
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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.