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Finding the Fourth Proportional to 569.45, 785.87 and 333.55

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Solution

The fourth proportional to 569.45, 785.87 and 333.55 is: 460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.45 : 785.87 = 333.55 : x
  2. Step 2: Convert to fraction form
    569.45/785.87 = 333.55/x
  3. Step 3: Cross multiply
    569.45x = 785.87 × 333.55
  4. Step 4: Simplify right side
    569.45x = 262,127.50
  5. Step 5: Solve for x
    x = 262,127.50/569.45
  6. Step 6: Final answer
    x = 460.32

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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.