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Finding the Fourth Proportional to 584.06, 874.02 and 429.62

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Solution

The fourth proportional to 584.06, 874.02 and 429.62 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 874.02 = 429.62 : x
  2. Step 2: Convert to fraction form
    584.06/874.02 = 429.62/x
  3. Step 3: Cross multiply
    584.06x = 874.02 × 429.62
  4. Step 4: Simplify right side
    584.06x = 375,496.47
  5. Step 5: Solve for x
    x = 375,496.47/584.06
  6. Step 6: Final answer
    x = 642.91

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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.