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Finding the Fourth Proportional to 569.96, 786.26 and 392.87

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Solution

The fourth proportional to 569.96, 786.26 and 392.87 is: 541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 786.26 = 392.87 : x
  2. Step 2: Convert to fraction form
    569.96/786.26 = 392.87/x
  3. Step 3: Cross multiply
    569.96x = 786.26 × 392.87
  4. Step 4: Simplify right side
    569.96x = 308,897.97
  5. Step 5: Solve for x
    x = 308,897.97/569.96
  6. Step 6: Final answer
    x = 541.96

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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.