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Finding the Fourth Proportional to 589.26, 813.18 and 340.53

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Solution

The fourth proportional to 589.26, 813.18 and 340.53 is: 469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.26 : 813.18 = 340.53 : x
  2. Step 2: Convert to fraction form
    589.26/813.18 = 340.53/x
  3. Step 3: Cross multiply
    589.26x = 813.18 × 340.53
  4. Step 4: Simplify right side
    589.26x = 276,912.19
  5. Step 5: Solve for x
    x = 276,912.19/589.26
  6. Step 6: Final answer
    x = 469.93

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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.