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Finding the Fourth Proportional to 628.13, 866.21 and 569.27

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Solution

The fourth proportional to 628.13, 866.21 and 569.27 is: 785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 866.21 = 569.27 : x
  2. Step 2: Convert to fraction form
    628.13/866.21 = 569.27/x
  3. Step 3: Cross multiply
    628.13x = 866.21 × 569.27
  4. Step 4: Simplify right side
    628.13x = 493,100.19
  5. Step 5: Solve for x
    x = 493,100.19/628.13
  6. Step 6: Final answer
    x = 785.04

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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.