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Finding the Fourth Proportional to 584.30, 819.10 and 584.30

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Solution

The fourth proportional to 584.30, 819.10 and 584.30 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 819.10 = 584.30 : x
  2. Step 2: Convert to fraction form
    584.30/819.10 = 584.30/x
  3. Step 3: Cross multiply
    584.30x = 819.10 × 584.30
  4. Step 4: Simplify right side
    584.30x = 478,600.13
  5. Step 5: Solve for x
    x = 478,600.13/584.30
  6. Step 6: Final answer
    x = 819.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.