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Finding the Fourth Proportional to 612.77, 846.36 and 446.72

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Solution

The fourth proportional to 612.77, 846.36 and 446.72 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.77 : 846.36 = 446.72 : x
  2. Step 2: Convert to fraction form
    612.77/846.36 = 446.72/x
  3. Step 3: Cross multiply
    612.77x = 846.36 × 446.72
  4. Step 4: Simplify right side
    612.77x = 378,085.94
  5. Step 5: Solve for x
    x = 378,085.94/612.77
  6. Step 6: Final answer
    x = 617.01

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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.