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Finding the Fourth Proportional to 566.72, 854.48 and 518.72

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Solution

The fourth proportional to 566.72, 854.48 and 518.72 is: 782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.72 : 854.48 = 518.72 : x
  2. Step 2: Convert to fraction form
    566.72/854.48 = 518.72/x
  3. Step 3: Cross multiply
    566.72x = 854.48 × 518.72
  4. Step 4: Simplify right side
    566.72x = 443,235.87
  5. Step 5: Solve for x
    x = 443,235.87/566.72
  6. Step 6: Final answer
    x = 782.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.