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Finding the Fourth Proportional to 589.53, 813.66 and 368.43

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Solution

The fourth proportional to 589.53, 813.66 and 368.43 is: 508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.53 : 813.66 = 368.43 : x
  2. Step 2: Convert to fraction form
    589.53/813.66 = 368.43/x
  3. Step 3: Cross multiply
    589.53x = 813.66 × 368.43
  4. Step 4: Simplify right side
    589.53x = 299,776.75
  5. Step 5: Solve for x
    x = 299,776.75/589.53
  6. Step 6: Final answer
    x = 508.50

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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.