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Finding the Fourth Proportional to 612.83, 846.39 and 416

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Solution

The fourth proportional to 612.83, 846.39 and 416 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.83 : 846.39 = 416 : x
  2. Step 2: Convert to fraction form
    612.83/846.39 = 416/x
  3. Step 3: Cross multiply
    612.83x = 846.39 × 416
  4. Step 4: Simplify right side
    612.83x = 352,098.24
  5. Step 5: Solve for x
    x = 352,098.24/612.83
  6. Step 6: Final answer
    x = 574.54

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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.