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Finding the Fourth Proportional to 576.40, 794.28 and 410.80

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Solution

The fourth proportional to 576.40, 794.28 and 410.80 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 794.28 = 410.80 : x
  2. Step 2: Convert to fraction form
    576.40/794.28 = 410.80/x
  3. Step 3: Cross multiply
    576.40x = 794.28 × 410.80
  4. Step 4: Simplify right side
    576.40x = 326,290.22
  5. Step 5: Solve for x
    x = 326,290.22/576.40
  6. Step 6: Final answer
    x = 566.08

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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.