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Finding the Fourth Proportional to 569.57, 850.57 and 477.56

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Solution

The fourth proportional to 569.57, 850.57 and 477.56 is: 713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.57 : 850.57 = 477.56 : x
  2. Step 2: Convert to fraction form
    569.57/850.57 = 477.56/x
  3. Step 3: Cross multiply
    569.57x = 850.57 × 477.56
  4. Step 4: Simplify right side
    569.57x = 406,199.14
  5. Step 5: Solve for x
    x = 406,199.14/569.57
  6. Step 6: Final answer
    x = 713.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.