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Finding the Fourth Proportional to 569.36, 849.88 and 488.72

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Solution

The fourth proportional to 569.36, 849.88 and 488.72 is: 729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.36 : 849.88 = 488.72 : x
  2. Step 2: Convert to fraction form
    569.36/849.88 = 488.72/x
  3. Step 3: Cross multiply
    569.36x = 849.88 × 488.72
  4. Step 4: Simplify right side
    569.36x = 415,353.35
  5. Step 5: Solve for x
    x = 415,353.35/569.36
  6. Step 6: Final answer
    x = 729.51

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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.