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Finding the Fourth Proportional to 584.74, 876.70 and 389.80

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Solution

The fourth proportional to 584.74, 876.70 and 389.80 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.74 : 876.70 = 389.80 : x
  2. Step 2: Convert to fraction form
    584.74/876.70 = 389.80/x
  3. Step 3: Cross multiply
    584.74x = 876.70 × 389.80
  4. Step 4: Simplify right side
    584.74x = 341,737.66
  5. Step 5: Solve for x
    x = 341,737.66/584.74
  6. Step 6: Final answer
    x = 584.43

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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.