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Finding the Fourth Proportional to 589.02, 812.68 and 340.20

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Solution

The fourth proportional to 589.02, 812.68 and 340.20 is: 469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 812.68 = 340.20 : x
  2. Step 2: Convert to fraction form
    589.02/812.68 = 340.20/x
  3. Step 3: Cross multiply
    589.02x = 812.68 × 340.20
  4. Step 4: Simplify right side
    589.02x = 276,474.80
  5. Step 5: Solve for x
    x = 276,474.80/589.02
  6. Step 6: Final answer
    x = 469.38

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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.