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Finding the Fourth Proportional to 628.77, 867.86 and 419.29

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Solution

The fourth proportional to 628.77, 867.86 and 419.29 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.77 : 867.86 = 419.29 : x
  2. Step 2: Convert to fraction form
    628.77/867.86 = 419.29/x
  3. Step 3: Cross multiply
    628.77x = 867.86 × 419.29
  4. Step 4: Simplify right side
    628.77x = 363,885.02
  5. Step 5: Solve for x
    x = 363,885.02/628.77
  6. Step 6: Final answer
    x = 578.73

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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.