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Finding the Fourth Proportional to 589.24, 812.94 and 353.20

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Solution

The fourth proportional to 589.24, 812.94 and 353.20 is: 487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.24 : 812.94 = 353.20 : x
  2. Step 2: Convert to fraction form
    589.24/812.94 = 353.20/x
  3. Step 3: Cross multiply
    589.24x = 812.94 × 353.20
  4. Step 4: Simplify right side
    589.24x = 287,130.41
  5. Step 5: Solve for x
    x = 287,130.41/589.24
  6. Step 6: Final answer
    x = 487.29

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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.