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Finding the Fourth Proportional to 612.95, 846.98 and 446.87

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Solution

The fourth proportional to 612.95, 846.98 and 446.87 is: 617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.95 : 846.98 = 446.87 : x
  2. Step 2: Convert to fraction form
    612.95/846.98 = 446.87/x
  3. Step 3: Cross multiply
    612.95x = 846.98 × 446.87
  4. Step 4: Simplify right side
    612.95x = 378,489.95
  5. Step 5: Solve for x
    x = 378,489.95/612.95
  6. Step 6: Final answer
    x = 617.49

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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.