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Finding the Fourth Proportional to 841.88, 1,166.30 and 821.72

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Solution

The fourth proportional to 841.88, 1,166.30 and 821.72 is: 1,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.88 : 1,166.30 = 821.72 : x
  2. Step 2: Convert to fraction form
    841.88/1,166.30 = 821.72/x
  3. Step 3: Cross multiply
    841.88x = 1,166.30 × 821.72
  4. Step 4: Simplify right side
    841.88x = 958,372.04
  5. Step 5: Solve for x
    x = 958,372.04/841.88
  6. Step 6: Final answer
    x = 1,138.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.