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Finding the Fourth Proportional to 819.17, 1,130.54 and 504.37

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Solution

The fourth proportional to 819.17, 1,130.54 and 504.37 is: 696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.17 : 1,130.54 = 504.37 : x
  2. Step 2: Convert to fraction form
    819.17/1,130.54 = 504.37/x
  3. Step 3: Cross multiply
    819.17x = 1,130.54 × 504.37
  4. Step 4: Simplify right side
    819.17x = 570,207.63
  5. Step 5: Solve for x
    x = 570,207.63/819.17
  6. Step 6: Final answer
    x = 696.08

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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.