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Finding the Fourth Proportional to 701.66, 1,051.63 and 310.82

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Solution

The fourth proportional to 701.66, 1,051.63 and 310.82 is: 465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.66 : 1,051.63 = 310.82 : x
  2. Step 2: Convert to fraction form
    701.66/1,051.63 = 310.82/x
  3. Step 3: Cross multiply
    701.66x = 1,051.63 × 310.82
  4. Step 4: Simplify right side
    701.66x = 326,862.77
  5. Step 5: Solve for x
    x = 326,862.77/701.66
  6. Step 6: Final answer
    x = 465.85

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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.