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Finding the Fourth Proportional to 1,484.71, 2,226.80 and 389.00

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Solution

The fourth proportional to 1,484.71, 2,226.80 and 389.00 is: 583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.71 : 2,226.80 = 389.00 : x
  2. Step 2: Convert to fraction form
    1,484.71/2,226.80 = 389.00/x
  3. Step 3: Cross multiply
    1,484.71x = 2,226.80 × 389.00
  4. Step 4: Simplify right side
    1,484.71x = 866,231.74
  5. Step 5: Solve for x
    x = 866,231.74/1,484.71
  6. Step 6: Final answer
    x = 583.44

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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.