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Finding the Fourth Proportional to 600.79, 830.23 and 453.17

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Solution

The fourth proportional to 600.79, 830.23 and 453.17 is: 626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.79 : 830.23 = 453.17 : x
  2. Step 2: Convert to fraction form
    600.79/830.23 = 453.17/x
  3. Step 3: Cross multiply
    600.79x = 830.23 × 453.17
  4. Step 4: Simplify right side
    600.79x = 376,235.33
  5. Step 5: Solve for x
    x = 376,235.33/600.79
  6. Step 6: Final answer
    x = 626.23

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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.