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Finding the Fourth Proportional to 841.93, 1,160.66 and 639.63

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Solution

The fourth proportional to 841.93, 1,160.66 and 639.63 is: 881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.93 : 1,160.66 = 639.63 : x
  2. Step 2: Convert to fraction form
    841.93/1,160.66 = 639.63/x
  3. Step 3: Cross multiply
    841.93x = 1,160.66 × 639.63
  4. Step 4: Simplify right side
    841.93x = 742,394.55
  5. Step 5: Solve for x
    x = 742,394.55/841.93
  6. Step 6: Final answer
    x = 881.78

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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.