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Finding the Fourth Proportional to 589.31, 813.13 and 340.57

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Solution

The fourth proportional to 589.31, 813.13 and 340.57 is: 469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.31 : 813.13 = 340.57 : x
  2. Step 2: Convert to fraction form
    589.31/813.13 = 340.57/x
  3. Step 3: Cross multiply
    589.31x = 813.13 × 340.57
  4. Step 4: Simplify right side
    589.31x = 276,927.68
  5. Step 5: Solve for x
    x = 276,927.68/589.31
  6. Step 6: Final answer
    x = 469.92

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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.