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Finding the Fourth Proportional to 589.19, 813.04 and 340.31

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Solution

The fourth proportional to 589.19, 813.04 and 340.31 is: 469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.19 : 813.04 = 340.31 : x
  2. Step 2: Convert to fraction form
    589.19/813.04 = 340.31/x
  3. Step 3: Cross multiply
    589.19x = 813.04 × 340.31
  4. Step 4: Simplify right side
    589.19x = 276,683.94
  5. Step 5: Solve for x
    x = 276,683.94/589.19
  6. Step 6: Final answer
    x = 469.60

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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.