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Finding the Fourth Proportional to 589.25, 812.99 and 421.25

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Solution

The fourth proportional to 589.25, 812.99 and 421.25 is: 581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.25 : 812.99 = 421.25 : x
  2. Step 2: Convert to fraction form
    589.25/812.99 = 421.25/x
  3. Step 3: Cross multiply
    589.25x = 812.99 × 421.25
  4. Step 4: Simplify right side
    589.25x = 342,475.80
  5. Step 5: Solve for x
    x = 342,475.80/589.25
  6. Step 6: Final answer
    x = 581.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.