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Finding the Fourth Proportional to 833.06, 1,149.62 and 460.05

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Solution

The fourth proportional to 833.06, 1,149.62 and 460.05 is: 634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,149.62 = 460.05 : x
  2. Step 2: Convert to fraction form
    833.06/1,149.62 = 460.05/x
  3. Step 3: Cross multiply
    833.06x = 1,149.62 × 460.05
  4. Step 4: Simplify right side
    833.06x = 528,880.38
  5. Step 5: Solve for x
    x = 528,880.38/833.06
  6. Step 6: Final answer
    x = 634.87

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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.