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Finding the Fourth Proportional to 403.63, 605.81 and 312.91

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Solution

The fourth proportional to 403.63, 605.81 and 312.91 is: 469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.63 : 605.81 = 312.91 : x
  2. Step 2: Convert to fraction form
    403.63/605.81 = 312.91/x
  3. Step 3: Cross multiply
    403.63x = 605.81 × 312.91
  4. Step 4: Simplify right side
    403.63x = 189,564.01
  5. Step 5: Solve for x
    x = 189,564.01/403.63
  6. Step 6: Final answer
    x = 469.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.