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Finding the Fourth Proportional to 1,219.95, 1,829.00 and 786.20

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Solution

The fourth proportional to 1,219.95, 1,829.00 and 786.20 is: 1,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.95 : 1,829.00 = 786.20 : x
  2. Step 2: Convert to fraction form
    1,219.95/1,829.00 = 786.20/x
  3. Step 3: Cross multiply
    1,219.95x = 1,829.00 × 786.20
  4. Step 4: Simplify right side
    1,219.95x = 1,437,946.72
  5. Step 5: Solve for x
    x = 1,437,946.72/1,219.95
  6. Step 6: Final answer
    x = 1,178.69

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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.