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Finding the Fourth Proportional to 841.95, 1,161.09 and 557.93

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Solution

The fourth proportional to 841.95, 1,161.09 and 557.93 is: 769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.95 : 1,161.09 = 557.93 : x
  2. Step 2: Convert to fraction form
    841.95/1,161.09 = 557.93/x
  3. Step 3: Cross multiply
    841.95x = 1,161.09 × 557.93
  4. Step 4: Simplify right side
    841.95x = 647,801.14
  5. Step 5: Solve for x
    x = 647,801.14/841.95
  6. Step 6: Final answer
    x = 769.41

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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.