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Finding the Fourth Proportional to 1,218.96, 1,829.94 and 830.64

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Solution

The fourth proportional to 1,218.96, 1,829.94 and 830.64 is: 1,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.96 : 1,829.94 = 830.64 : x
  2. Step 2: Convert to fraction form
    1,218.96/1,829.94 = 830.64/x
  3. Step 3: Cross multiply
    1,218.96x = 1,829.94 × 830.64
  4. Step 4: Simplify right side
    1,218.96x = 1,520,021.36
  5. Step 5: Solve for x
    x = 1,520,021.36/1,218.96
  6. Step 6: Final answer
    x = 1,246.98

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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.