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Finding the Fourth Proportional to 569.11, 849.51 and 488.47

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Solution

The fourth proportional to 569.11, 849.51 and 488.47 is: 729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 849.51 = 488.47 : x
  2. Step 2: Convert to fraction form
    569.11/849.51 = 488.47/x
  3. Step 3: Cross multiply
    569.11x = 849.51 × 488.47
  4. Step 4: Simplify right side
    569.11x = 414,960.15
  5. Step 5: Solve for x
    x = 414,960.15/569.11
  6. Step 6: Final answer
    x = 729.14

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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.