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Finding the Fourth Proportional to 569.28, 785.34 and 403.44

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Solution

The fourth proportional to 569.28, 785.34 and 403.44 is: 556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 785.34 = 403.44 : x
  2. Step 2: Convert to fraction form
    569.28/785.34 = 403.44/x
  3. Step 3: Cross multiply
    569.28x = 785.34 × 403.44
  4. Step 4: Simplify right side
    569.28x = 316,837.57
  5. Step 5: Solve for x
    x = 316,837.57/569.28
  6. Step 6: Final answer
    x = 556.56

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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.