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Finding the Fourth Proportional to 841.92, 1,256.52 and 820.05

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Solution

The fourth proportional to 841.92, 1,256.52 and 820.05 is: 1,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.92 : 1,256.52 = 820.05 : x
  2. Step 2: Convert to fraction form
    841.92/1,256.52 = 820.05/x
  3. Step 3: Cross multiply
    841.92x = 1,256.52 × 820.05
  4. Step 4: Simplify right side
    841.92x = 1,030,409.23
  5. Step 5: Solve for x
    x = 1,030,409.23/841.92
  6. Step 6: Final answer
    x = 1,223.88

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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.