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Finding the Fourth Proportional to 1,218.76, 1,828.68 and 641.50

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Solution

The fourth proportional to 1,218.76, 1,828.68 and 641.50 is: 962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.76 : 1,828.68 = 641.50 : x
  2. Step 2: Convert to fraction form
    1,218.76/1,828.68 = 641.50/x
  3. Step 3: Cross multiply
    1,218.76x = 1,828.68 × 641.50
  4. Step 4: Simplify right side
    1,218.76x = 1,173,098.22
  5. Step 5: Solve for x
    x = 1,173,098.22/1,218.76
  6. Step 6: Final answer
    x = 962.53

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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.