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Finding the Fourth Proportional to 605.79, 830.40 and 597.60

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Solution

The fourth proportional to 605.79, 830.40 and 597.60 is: 819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.79 : 830.40 = 597.60 : x
  2. Step 2: Convert to fraction form
    605.79/830.40 = 597.60/x
  3. Step 3: Cross multiply
    605.79x = 830.40 × 597.60
  4. Step 4: Simplify right side
    605.79x = 496,247.04
  5. Step 5: Solve for x
    x = 496,247.04/605.79
  6. Step 6: Final answer
    x = 819.17

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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.