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Finding the Fourth Proportional to 589.02, 813.44 and 485.14

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Solution

The fourth proportional to 589.02, 813.44 and 485.14 is: 669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 813.44 = 485.14 : x
  2. Step 2: Convert to fraction form
    589.02/813.44 = 485.14/x
  3. Step 3: Cross multiply
    589.02x = 813.44 × 485.14
  4. Step 4: Simplify right side
    589.02x = 394,632.99
  5. Step 5: Solve for x
    x = 394,632.99/589.02
  6. Step 6: Final answer
    x = 669.98

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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.