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Finding the Fourth Proportional to 619.87, 856.51 and 488.14

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Solution

The fourth proportional to 619.87, 856.51 and 488.14 is: 674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.87 : 856.51 = 488.14 : x
  2. Step 2: Convert to fraction form
    619.87/856.51 = 488.14/x
  3. Step 3: Cross multiply
    619.87x = 856.51 × 488.14
  4. Step 4: Simplify right side
    619.87x = 418,096.87
  5. Step 5: Solve for x
    x = 418,096.87/619.87
  6. Step 6: Final answer
    x = 674.49

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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.