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Finding the Fourth Proportional to 613.87, 846.45 and 403.77

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Solution

The fourth proportional to 613.87, 846.45 and 403.77 is: 556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.87 : 846.45 = 403.77 : x
  2. Step 2: Convert to fraction form
    613.87/846.45 = 403.77/x
  3. Step 3: Cross multiply
    613.87x = 846.45 × 403.77
  4. Step 4: Simplify right side
    613.87x = 341,771.12
  5. Step 5: Solve for x
    x = 341,771.12/613.87
  6. Step 6: Final answer
    x = 556.75

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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.