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Finding the Fourth Proportional to 841.97, 1,256.58 and 820.10

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Solution

The fourth proportional to 841.97, 1,256.58 and 820.10 is: 1,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.97 : 1,256.58 = 820.10 : x
  2. Step 2: Convert to fraction form
    841.97/1,256.58 = 820.10/x
  3. Step 3: Cross multiply
    841.97x = 1,256.58 × 820.10
  4. Step 4: Simplify right side
    841.97x = 1,030,517.16
  5. Step 5: Solve for x
    x = 1,030,517.16/841.97
  6. Step 6: Final answer
    x = 1,223.94

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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.