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Finding the Fourth Proportional to 566.98, 849.12 and 292.30

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Solution

The fourth proportional to 566.98, 849.12 and 292.30 is: 437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.98 : 849.12 = 292.30 : x
  2. Step 2: Convert to fraction form
    566.98/849.12 = 292.30/x
  3. Step 3: Cross multiply
    566.98x = 849.12 × 292.30
  4. Step 4: Simplify right side
    566.98x = 248,197.78
  5. Step 5: Solve for x
    x = 248,197.78/566.98
  6. Step 6: Final answer
    x = 437.75

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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.