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Finding the Fourth Proportional to 605.45, 830.06 and 594.51

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Solution

The fourth proportional to 605.45, 830.06 and 594.51 is: 815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.45 : 830.06 = 594.51 : x
  2. Step 2: Convert to fraction form
    605.45/830.06 = 594.51/x
  3. Step 3: Cross multiply
    605.45x = 830.06 × 594.51
  4. Step 4: Simplify right side
    605.45x = 493,476.00
  5. Step 5: Solve for x
    x = 493,476.00/605.45
  6. Step 6: Final answer
    x = 815.06

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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.