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Finding the Fourth Proportional to 846.14, 1,166.94 and 547.43

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Solution

The fourth proportional to 846.14, 1,166.94 and 547.43 is: 754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,166.94 = 547.43 : x
  2. Step 2: Convert to fraction form
    846.14/1,166.94 = 547.43/x
  3. Step 3: Cross multiply
    846.14x = 1,166.94 × 547.43
  4. Step 4: Simplify right side
    846.14x = 638,812.13
  5. Step 5: Solve for x
    x = 638,812.13/846.14
  6. Step 6: Final answer
    x = 754.98

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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.