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Finding the Fourth Proportional to 555.87, 832.14 and 419.25

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Solution

The fourth proportional to 555.87, 832.14 and 419.25 is: 627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.87 : 832.14 = 419.25 : x
  2. Step 2: Convert to fraction form
    555.87/832.14 = 419.25/x
  3. Step 3: Cross multiply
    555.87x = 832.14 × 419.25
  4. Step 4: Simplify right side
    555.87x = 348,874.70
  5. Step 5: Solve for x
    x = 348,874.70/555.87
  6. Step 6: Final answer
    x = 627.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.