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Finding the Fourth Proportional to 841.82, 1,263.13 and 634.93

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Solution

The fourth proportional to 841.82, 1,263.13 and 634.93 is: 952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.82 : 1,263.13 = 634.93 : x
  2. Step 2: Convert to fraction form
    841.82/1,263.13 = 634.93/x
  3. Step 3: Cross multiply
    841.82x = 1,263.13 × 634.93
  4. Step 4: Simplify right side
    841.82x = 801,999.13
  5. Step 5: Solve for x
    x = 801,999.13/841.82
  6. Step 6: Final answer
    x = 952.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.