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Finding the Fourth Proportional to 701.08, 1,051.45 and 310.86

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Solution

The fourth proportional to 701.08, 1,051.45 and 310.86 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.08 : 1,051.45 = 310.86 : x
  2. Step 2: Convert to fraction form
    701.08/1,051.45 = 310.86/x
  3. Step 3: Cross multiply
    701.08x = 1,051.45 × 310.86
  4. Step 4: Simplify right side
    701.08x = 326,853.75
  5. Step 5: Solve for x
    x = 326,853.75/701.08
  6. Step 6: Final answer
    x = 466.21

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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.