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Finding the Fourth Proportional to 569.57, 785.86 and 420.41

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Solution

The fourth proportional to 569.57, 785.86 and 420.41 is: 580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.57 : 785.86 = 420.41 : x
  2. Step 2: Convert to fraction form
    569.57/785.86 = 420.41/x
  3. Step 3: Cross multiply
    569.57x = 785.86 × 420.41
  4. Step 4: Simplify right side
    569.57x = 330,384.32
  5. Step 5: Solve for x
    x = 330,384.32/569.57
  6. Step 6: Final answer
    x = 580.06

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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.