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Finding the Fourth Proportional to 562.64, 843.60 and 380.16

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Solution

The fourth proportional to 562.64, 843.60 and 380.16 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 843.60 = 380.16 : x
  2. Step 2: Convert to fraction form
    562.64/843.60 = 380.16/x
  3. Step 3: Cross multiply
    562.64x = 843.60 × 380.16
  4. Step 4: Simplify right side
    562.64x = 320,702.98
  5. Step 5: Solve for x
    x = 320,702.98/562.64
  6. Step 6: Final answer
    x = 570.00

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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.