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Finding the Fourth Proportional to 668.16, 1,006.80 and 549.09

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Solution

The fourth proportional to 668.16, 1,006.80 and 549.09 is: 827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 1,006.80 = 549.09 : x
  2. Step 2: Convert to fraction form
    668.16/1,006.80 = 549.09/x
  3. Step 3: Cross multiply
    668.16x = 1,006.80 × 549.09
  4. Step 4: Simplify right side
    668.16x = 552,820.89
  5. Step 5: Solve for x
    x = 552,820.89/668.16
  6. Step 6: Final answer
    x = 827.38

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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.