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Finding the Fourth Proportional to 576.25, 858.82 and 575.34

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Solution

The fourth proportional to 576.25, 858.82 and 575.34 is: 857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 858.82 = 575.34 : x
  2. Step 2: Convert to fraction form
    576.25/858.82 = 575.34/x
  3. Step 3: Cross multiply
    576.25x = 858.82 × 575.34
  4. Step 4: Simplify right side
    576.25x = 494,113.50
  5. Step 5: Solve for x
    x = 494,113.50/576.25
  6. Step 6: Final answer
    x = 857.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.