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Finding the Fourth Proportional to 565.78, 849.19 and 292.06

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Solution

The fourth proportional to 565.78, 849.19 and 292.06 is: 438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 849.19 = 292.06 : x
  2. Step 2: Convert to fraction form
    565.78/849.19 = 292.06/x
  3. Step 3: Cross multiply
    565.78x = 849.19 × 292.06
  4. Step 4: Simplify right side
    565.78x = 248,014.43
  5. Step 5: Solve for x
    x = 248,014.43/565.78
  6. Step 6: Final answer
    x = 438.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.