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Finding the Fourth Proportional to 1,518.93, 2,276.88 and 641.67

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Solution

The fourth proportional to 1,518.93, 2,276.88 and 641.67 is: 961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.93 : 2,276.88 = 641.67 : x
  2. Step 2: Convert to fraction form
    1,518.93/2,276.88 = 641.67/x
  3. Step 3: Cross multiply
    1,518.93x = 2,276.88 × 641.67
  4. Step 4: Simplify right side
    1,518.93x = 1,461,005.59
  5. Step 5: Solve for x
    x = 1,461,005.59/1,518.93
  6. Step 6: Final answer
    x = 961.86

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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.