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Finding the Fourth Proportional to 628.10, 866.42 and 431.87

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Solution

The fourth proportional to 628.10, 866.42 and 431.87 is: 595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.10 : 866.42 = 431.87 : x
  2. Step 2: Convert to fraction form
    628.10/866.42 = 431.87/x
  3. Step 3: Cross multiply
    628.10x = 866.42 × 431.87
  4. Step 4: Simplify right side
    628.10x = 374,180.81
  5. Step 5: Solve for x
    x = 374,180.81/628.10
  6. Step 6: Final answer
    x = 595.74

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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.