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Finding the Fourth Proportional to 605.52, 830.07 and 594.48

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Solution

The fourth proportional to 605.52, 830.07 and 594.48 is: 814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 830.07 = 594.48 : x
  2. Step 2: Convert to fraction form
    605.52/830.07 = 594.48/x
  3. Step 3: Cross multiply
    605.52x = 830.07 × 594.48
  4. Step 4: Simplify right side
    605.52x = 493,460.01
  5. Step 5: Solve for x
    x = 493,460.01/605.52
  6. Step 6: Final answer
    x = 814.94

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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.