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Finding the Fourth Proportional to 589.50, 813.20 and 442.08

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Solution

The fourth proportional to 589.50, 813.20 and 442.08 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 813.20 = 442.08 : x
  2. Step 2: Convert to fraction form
    589.50/813.20 = 442.08/x
  3. Step 3: Cross multiply
    589.50x = 813.20 × 442.08
  4. Step 4: Simplify right side
    589.50x = 359,497.25
  5. Step 5: Solve for x
    x = 359,497.25/589.50
  6. Step 6: Final answer
    x = 609.83

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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.