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Finding the Fourth Proportional to 584.06, 876.42 and 446.69

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Solution

The fourth proportional to 584.06, 876.42 and 446.69 is: 670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 876.42 = 446.69 : x
  2. Step 2: Convert to fraction form
    584.06/876.42 = 446.69/x
  3. Step 3: Cross multiply
    584.06x = 876.42 × 446.69
  4. Step 4: Simplify right side
    584.06x = 391,490.24
  5. Step 5: Solve for x
    x = 391,490.24/584.06
  6. Step 6: Final answer
    x = 670.30

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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.