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Finding the Fourth Proportional to 446.32, 665.82 and 433.76

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Solution

The fourth proportional to 446.32, 665.82 and 433.76 is: 647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.32 : 665.82 = 433.76 : x
  2. Step 2: Convert to fraction form
    446.32/665.82 = 433.76/x
  3. Step 3: Cross multiply
    446.32x = 665.82 × 433.76
  4. Step 4: Simplify right side
    446.32x = 288,803.97
  5. Step 5: Solve for x
    x = 288,803.97/446.32
  6. Step 6: Final answer
    x = 647.08

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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.