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Finding the Fourth Proportional to 430.46, 641.42 and 409.55

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Solution

The fourth proportional to 430.46, 641.42 and 409.55 is: 610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.46 : 641.42 = 409.55 : x
  2. Step 2: Convert to fraction form
    430.46/641.42 = 409.55/x
  3. Step 3: Cross multiply
    430.46x = 641.42 × 409.55
  4. Step 4: Simplify right side
    430.46x = 262,690.99
  5. Step 5: Solve for x
    x = 262,690.99/430.46
  6. Step 6: Final answer
    x = 610.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.