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Finding the Fourth Proportional to 605.69, 830.41 and 594.76

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Solution

The fourth proportional to 605.69, 830.41 and 594.76 is: 815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.69 : 830.41 = 594.76 : x
  2. Step 2: Convert to fraction form
    605.69/830.41 = 594.76/x
  3. Step 3: Cross multiply
    605.69x = 830.41 × 594.76
  4. Step 4: Simplify right side
    605.69x = 493,887.53
  5. Step 5: Solve for x
    x = 493,887.53/605.69
  6. Step 6: Final answer
    x = 815.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.