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Finding the Fourth Proportional to 819.83, 1,130.17 and 623

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Solution

The fourth proportional to 819.83, 1,130.17 and 623 is: 858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.83 : 1,130.17 = 623 : x
  2. Step 2: Convert to fraction form
    819.83/1,130.17 = 623/x
  3. Step 3: Cross multiply
    819.83x = 1,130.17 × 623
  4. Step 4: Simplify right side
    819.83x = 704,095.91
  5. Step 5: Solve for x
    x = 704,095.91/819.83
  6. Step 6: Final answer
    x = 858.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.