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Finding the Fourth Proportional to 589.14, 885.87 and 407.70

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Solution

The fourth proportional to 589.14, 885.87 and 407.70 is: 613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 885.87 = 407.70 : x
  2. Step 2: Convert to fraction form
    589.14/885.87 = 407.70/x
  3. Step 3: Cross multiply
    589.14x = 885.87 × 407.70
  4. Step 4: Simplify right side
    589.14x = 361,169.20
  5. Step 5: Solve for x
    x = 361,169.20/589.14
  6. Step 6: Final answer
    x = 613.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.