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Finding the Fourth Proportional to 434.04, 645.95 and 418.68

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Solution

The fourth proportional to 434.04, 645.95 and 418.68 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.04 : 645.95 = 418.68 : x
  2. Step 2: Convert to fraction form
    434.04/645.95 = 418.68/x
  3. Step 3: Cross multiply
    434.04x = 645.95 × 418.68
  4. Step 4: Simplify right side
    434.04x = 270,446.35
  5. Step 5: Solve for x
    x = 270,446.35/434.04
  6. Step 6: Final answer
    x = 623.09

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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.