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Finding the Fourth Proportional to 949.75, 1,311.45 and 670.30

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Solution

The fourth proportional to 949.75, 1,311.45 and 670.30 is: 925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.75 : 1,311.45 = 670.30 : x
  2. Step 2: Convert to fraction form
    949.75/1,311.45 = 670.30/x
  3. Step 3: Cross multiply
    949.75x = 1,311.45 × 670.30
  4. Step 4: Simplify right side
    949.75x = 879,055.03
  5. Step 5: Solve for x
    x = 879,055.03/949.75
  6. Step 6: Final answer
    x = 925.57

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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.