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Finding the Fourth Proportional to 584.40, 874.86 and 378.36

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Solution

The fourth proportional to 584.40, 874.86 and 378.36 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 874.86 = 378.36 : x
  2. Step 2: Convert to fraction form
    584.40/874.86 = 378.36/x
  3. Step 3: Cross multiply
    584.40x = 874.86 × 378.36
  4. Step 4: Simplify right side
    584.40x = 331,012.03
  5. Step 5: Solve for x
    x = 331,012.03/584.40
  6. Step 6: Final answer
    x = 566.41

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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.