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Finding the Fourth Proportional to 1,210.70, 1,816.35 and 389.06

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Solution

The fourth proportional to 1,210.70, 1,816.35 and 389.06 is: 583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.70 : 1,816.35 = 389.06 : x
  2. Step 2: Convert to fraction form
    1,210.70/1,816.35 = 389.06/x
  3. Step 3: Cross multiply
    1,210.70x = 1,816.35 × 389.06
  4. Step 4: Simplify right side
    1,210.70x = 706,660.05
  5. Step 5: Solve for x
    x = 706,660.05/1,210.70
  6. Step 6: Final answer
    x = 583.68

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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.