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Finding the Fourth Proportional to 605.26, 913.16 and 574.89

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Solution

The fourth proportional to 605.26, 913.16 and 574.89 is: 867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.26 : 913.16 = 574.89 : x
  2. Step 2: Convert to fraction form
    605.26/913.16 = 574.89/x
  3. Step 3: Cross multiply
    605.26x = 913.16 × 574.89
  4. Step 4: Simplify right side
    605.26x = 524,966.55
  5. Step 5: Solve for x
    x = 524,966.55/605.26
  6. Step 6: Final answer
    x = 867.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.