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Finding the Fourth Proportional to 1,083.17, 1,494.91 and 710.17

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Solution

The fourth proportional to 1,083.17, 1,494.91 and 710.17 is: 980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.17 : 1,494.91 = 710.17 : x
  2. Step 2: Convert to fraction form
    1,083.17/1,494.91 = 710.17/x
  3. Step 3: Cross multiply
    1,083.17x = 1,494.91 × 710.17
  4. Step 4: Simplify right side
    1,083.17x = 1,061,633.39
  5. Step 5: Solve for x
    x = 1,061,633.39/1,083.17
  6. Step 6: Final answer
    x = 980.11

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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.