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Finding the Fourth Proportional to 559.40, 769.34 and 458.68

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Solution

The fourth proportional to 559.40, 769.34 and 458.68 is: 630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.40 : 769.34 = 458.68 : x
  2. Step 2: Convert to fraction form
    559.40/769.34 = 458.68/x
  3. Step 3: Cross multiply
    559.40x = 769.34 × 458.68
  4. Step 4: Simplify right side
    559.40x = 352,880.87
  5. Step 5: Solve for x
    x = 352,880.87/559.40
  6. Step 6: Final answer
    x = 630.82

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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.