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Finding the Fourth Proportional to 1,097.67, 1,643.67 and 837.93

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Solution

The fourth proportional to 1,097.67, 1,643.67 and 837.93 is: 1,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.67 : 1,643.67 = 837.93 : x
  2. Step 2: Convert to fraction form
    1,097.67/1,643.67 = 837.93/x
  3. Step 3: Cross multiply
    1,097.67x = 1,643.67 × 837.93
  4. Step 4: Simplify right side
    1,097.67x = 1,377,280.40
  5. Step 5: Solve for x
    x = 1,377,280.40/1,097.67
  6. Step 6: Final answer
    x = 1,254.73

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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.