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Finding the Fourth Proportional to 841.29, 1,157.58 and 819.83

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Solution

The fourth proportional to 841.29, 1,157.58 and 819.83 is: 1,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.29 : 1,157.58 = 819.83 : x
  2. Step 2: Convert to fraction form
    841.29/1,157.58 = 819.83/x
  3. Step 3: Cross multiply
    841.29x = 1,157.58 × 819.83
  4. Step 4: Simplify right side
    841.29x = 949,013.02
  5. Step 5: Solve for x
    x = 949,013.02/841.29
  6. Step 6: Final answer
    x = 1,128.05

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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.