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Finding the Fourth Proportional to 1,384.12, 2,074.56 and 613

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Solution

The fourth proportional to 1,384.12, 2,074.56 and 613 is: 918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.12 : 2,074.56 = 613 : x
  2. Step 2: Convert to fraction form
    1,384.12/2,074.56 = 613/x
  3. Step 3: Cross multiply
    1,384.12x = 2,074.56 × 613
  4. Step 4: Simplify right side
    1,384.12x = 1,271,705.28
  5. Step 5: Solve for x
    x = 1,271,705.28/1,384.12
  6. Step 6: Final answer
    x = 918.78

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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.