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Finding the Fourth Proportional to 817.77, 1,224.21 and 574.16

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Solution

The fourth proportional to 817.77, 1,224.21 and 574.16 is: 859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.77 : 1,224.21 = 574.16 : x
  2. Step 2: Convert to fraction form
    817.77/1,224.21 = 574.16/x
  3. Step 3: Cross multiply
    817.77x = 1,224.21 × 574.16
  4. Step 4: Simplify right side
    817.77x = 702,892.41
  5. Step 5: Solve for x
    x = 702,892.41/817.77
  6. Step 6: Final answer
    x = 859.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.