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Finding the Fourth Proportional to 1,218.70, 1,827.96 and 352.96

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Solution

The fourth proportional to 1,218.70, 1,827.96 and 352.96 is: 529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.70 : 1,827.96 = 352.96 : x
  2. Step 2: Convert to fraction form
    1,218.70/1,827.96 = 352.96/x
  3. Step 3: Cross multiply
    1,218.70x = 1,827.96 × 352.96
  4. Step 4: Simplify right side
    1,218.70x = 645,196.76
  5. Step 5: Solve for x
    x = 645,196.76/1,218.70
  6. Step 6: Final answer
    x = 529.41

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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.