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Finding the Fourth Proportional to 670.11, 1,004.63 and 341.05

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Solution

The fourth proportional to 670.11, 1,004.63 and 341.05 is: 511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.11 : 1,004.63 = 341.05 : x
  2. Step 2: Convert to fraction form
    670.11/1,004.63 = 341.05/x
  3. Step 3: Cross multiply
    670.11x = 1,004.63 × 341.05
  4. Step 4: Simplify right side
    670.11x = 342,629.06
  5. Step 5: Solve for x
    x = 342,629.06/670.11
  6. Step 6: Final answer
    x = 511.30

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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.