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Finding the Fourth Proportional to 576.24, 797.40 and 498.48

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Solution

The fourth proportional to 576.24, 797.40 and 498.48 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.24 : 797.40 = 498.48 : x
  2. Step 2: Convert to fraction form
    576.24/797.40 = 498.48/x
  3. Step 3: Cross multiply
    576.24x = 797.40 × 498.48
  4. Step 4: Simplify right side
    576.24x = 397,487.95
  5. Step 5: Solve for x
    x = 397,487.95/576.24
  6. Step 6: Final answer
    x = 689.80

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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.