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Finding the Fourth Proportional to 790.46, 1,091.16 and 582.29

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Solution

The fourth proportional to 790.46, 1,091.16 and 582.29 is: 803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.46 : 1,091.16 = 582.29 : x
  2. Step 2: Convert to fraction form
    790.46/1,091.16 = 582.29/x
  3. Step 3: Cross multiply
    790.46x = 1,091.16 × 582.29
  4. Step 4: Simplify right side
    790.46x = 635,366.10
  5. Step 5: Solve for x
    x = 635,366.10/790.46
  6. Step 6: Final answer
    x = 803.80

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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.