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Finding the Fourth Proportional to 562.90, 842.74 and 375.57

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Solution

The fourth proportional to 562.90, 842.74 and 375.57 is: 562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.90 : 842.74 = 375.57 : x
  2. Step 2: Convert to fraction form
    562.90/842.74 = 375.57/x
  3. Step 3: Cross multiply
    562.90x = 842.74 × 375.57
  4. Step 4: Simplify right side
    562.90x = 316,507.86
  5. Step 5: Solve for x
    x = 316,507.86/562.90
  6. Step 6: Final answer
    x = 562.28

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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.