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Finding the Fourth Proportional to 576.42, 860.47 and 535.41

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Solution

The fourth proportional to 576.42, 860.47 and 535.41 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.42 : 860.47 = 535.41 : x
  2. Step 2: Convert to fraction form
    576.42/860.47 = 535.41/x
  3. Step 3: Cross multiply
    576.42x = 860.47 × 535.41
  4. Step 4: Simplify right side
    576.42x = 460,705.92
  5. Step 5: Solve for x
    x = 460,705.92/576.42
  6. Step 6: Final answer
    x = 799.26

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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.