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Finding the Fourth Proportional to 817.20, 1,126.56 and 609.84

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Solution

The fourth proportional to 817.20, 1,126.56 and 609.84 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.20 : 1,126.56 = 609.84 : x
  2. Step 2: Convert to fraction form
    817.20/1,126.56 = 609.84/x
  3. Step 3: Cross multiply
    817.20x = 1,126.56 × 609.84
  4. Step 4: Simplify right side
    817.20x = 687,021.35
  5. Step 5: Solve for x
    x = 687,021.35/817.20
  6. Step 6: Final answer
    x = 840.70

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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.