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Finding the Fourth Proportional to 437.70, 603.84 and 297.93

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Solution

The fourth proportional to 437.70, 603.84 and 297.93 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.70 : 603.84 = 297.93 : x
  2. Step 2: Convert to fraction form
    437.70/603.84 = 297.93/x
  3. Step 3: Cross multiply
    437.70x = 603.84 × 297.93
  4. Step 4: Simplify right side
    437.70x = 179,902.05
  5. Step 5: Solve for x
    x = 179,902.05/437.70
  6. Step 6: Final answer
    x = 411.02

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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.