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Finding the Fourth Proportional to 841.17, 1,161.27 and 654.24

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Solution

The fourth proportional to 841.17, 1,161.27 and 654.24 is: 903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.17 : 1,161.27 = 654.24 : x
  2. Step 2: Convert to fraction form
    841.17/1,161.27 = 654.24/x
  3. Step 3: Cross multiply
    841.17x = 1,161.27 × 654.24
  4. Step 4: Simplify right side
    841.17x = 759,749.28
  5. Step 5: Solve for x
    x = 759,749.28/841.17
  6. Step 6: Final answer
    x = 903.21

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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.