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Finding the Fourth Proportional to 579.24, 797.40 and 448.20

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Solution

The fourth proportional to 579.24, 797.40 and 448.20 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 797.40 = 448.20 : x
  2. Step 2: Convert to fraction form
    579.24/797.40 = 448.20/x
  3. Step 3: Cross multiply
    579.24x = 797.40 × 448.20
  4. Step 4: Simplify right side
    579.24x = 357,394.68
  5. Step 5: Solve for x
    x = 357,394.68/579.24
  6. Step 6: Final answer
    x = 617.01

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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.