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Finding the Fourth Proportional to 446.40, 665.73 and 437.76

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Solution

The fourth proportional to 446.40, 665.73 and 437.76 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 665.73 = 437.76 : x
  2. Step 2: Convert to fraction form
    446.40/665.73 = 437.76/x
  3. Step 3: Cross multiply
    446.40x = 665.73 × 437.76
  4. Step 4: Simplify right side
    446.40x = 291,429.96
  5. Step 5: Solve for x
    x = 291,429.96/446.40
  6. Step 6: Final answer
    x = 652.84

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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.