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Finding the Fourth Proportional to 819.90, 1,130.67 and 623.07

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Solution

The fourth proportional to 819.90, 1,130.67 and 623.07 is: 859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.90 : 1,130.67 = 623.07 : x
  2. Step 2: Convert to fraction form
    819.90/1,130.67 = 623.07/x
  3. Step 3: Cross multiply
    819.90x = 1,130.67 × 623.07
  4. Step 4: Simplify right side
    819.90x = 704,486.56
  5. Step 5: Solve for x
    x = 704,486.56/819.90
  6. Step 6: Final answer
    x = 859.23

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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.