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Finding the Fourth Proportional to 562.82, 845.64 and 357.47

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Solution

The fourth proportional to 562.82, 845.64 and 357.47 is: 537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 845.64 = 357.47 : x
  2. Step 2: Convert to fraction form
    562.82/845.64 = 357.47/x
  3. Step 3: Cross multiply
    562.82x = 845.64 × 357.47
  4. Step 4: Simplify right side
    562.82x = 302,290.93
  5. Step 5: Solve for x
    x = 302,290.93/562.82
  6. Step 6: Final answer
    x = 537.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.