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Finding the Fourth Proportional to 569.70, 785.44 and 372.88

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Solution

The fourth proportional to 569.70, 785.44 and 372.88 is: 514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.70 : 785.44 = 372.88 : x
  2. Step 2: Convert to fraction form
    569.70/785.44 = 372.88/x
  3. Step 3: Cross multiply
    569.70x = 785.44 × 372.88
  4. Step 4: Simplify right side
    569.70x = 292,874.87
  5. Step 5: Solve for x
    x = 292,874.87/569.70
  6. Step 6: Final answer
    x = 514.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.