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Finding the Fourth Proportional to 819.36, 1,129.79 and 609.93

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Solution

The fourth proportional to 819.36, 1,129.79 and 609.93 is: 841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.36 : 1,129.79 = 609.93 : x
  2. Step 2: Convert to fraction form
    819.36/1,129.79 = 609.93/x
  3. Step 3: Cross multiply
    819.36x = 1,129.79 × 609.93
  4. Step 4: Simplify right side
    819.36x = 689,094.34
  5. Step 5: Solve for x
    x = 689,094.34/819.36
  6. Step 6: Final answer
    x = 841.02

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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.