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Finding the Fourth Proportional to 628.02, 865.78 and 431.19

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Solution

The fourth proportional to 628.02, 865.78 and 431.19 is: 594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.02 : 865.78 = 431.19 : x
  2. Step 2: Convert to fraction form
    628.02/865.78 = 431.19/x
  3. Step 3: Cross multiply
    628.02x = 865.78 × 431.19
  4. Step 4: Simplify right side
    628.02x = 373,314.60
  5. Step 5: Solve for x
    x = 373,314.60/628.02
  6. Step 6: Final answer
    x = 594.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.