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Finding the Fourth Proportional to 608.31, 908.42 and 589.48

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Solution

The fourth proportional to 608.31, 908.42 and 589.48 is: 880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.31 : 908.42 = 589.48 : x
  2. Step 2: Convert to fraction form
    608.31/908.42 = 589.48/x
  3. Step 3: Cross multiply
    608.31x = 908.42 × 589.48
  4. Step 4: Simplify right side
    608.31x = 535,490.20
  5. Step 5: Solve for x
    x = 535,490.20/608.31
  6. Step 6: Final answer
    x = 880.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.