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Finding the Fourth Proportional to 848.38, 1,172.94 and 588.34

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Solution

The fourth proportional to 848.38, 1,172.94 and 588.34 is: 813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.38 : 1,172.94 = 588.34 : x
  2. Step 2: Convert to fraction form
    848.38/1,172.94 = 588.34/x
  3. Step 3: Cross multiply
    848.38x = 1,172.94 × 588.34
  4. Step 4: Simplify right side
    848.38x = 690,087.52
  5. Step 5: Solve for x
    x = 690,087.52/848.38
  6. Step 6: Final answer
    x = 813.42

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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.