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Finding the Fourth Proportional to 569.20, 785.44 and 419.91

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Solution

The fourth proportional to 569.20, 785.44 and 419.91 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.20 : 785.44 = 419.91 : x
  2. Step 2: Convert to fraction form
    569.20/785.44 = 419.91/x
  3. Step 3: Cross multiply
    569.20x = 785.44 × 419.91
  4. Step 4: Simplify right side
    569.20x = 329,812.18
  5. Step 5: Solve for x
    x = 329,812.18/569.20
  6. Step 6: Final answer
    x = 579.43

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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.