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Finding the Fourth Proportional to 446.51, 665.92 and 402.77

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Solution

The fourth proportional to 446.51, 665.92 and 402.77 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.51 : 665.92 = 402.77 : x
  2. Step 2: Convert to fraction form
    446.51/665.92 = 402.77/x
  3. Step 3: Cross multiply
    446.51x = 665.92 × 402.77
  4. Step 4: Simplify right side
    446.51x = 268,214.77
  5. Step 5: Solve for x
    x = 268,214.77/446.51
  6. Step 6: Final answer
    x = 600.69

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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.