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Finding the Fourth Proportional to 1,210.23, 1,814.54 and 723.02

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Solution

The fourth proportional to 1,210.23, 1,814.54 and 723.02 is: 1,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.23 : 1,814.54 = 723.02 : x
  2. Step 2: Convert to fraction form
    1,210.23/1,814.54 = 723.02/x
  3. Step 3: Cross multiply
    1,210.23x = 1,814.54 × 723.02
  4. Step 4: Simplify right side
    1,210.23x = 1,311,936.02
  5. Step 5: Solve for x
    x = 1,311,936.02/1,210.23
  6. Step 6: Final answer
    x = 1,084.04

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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.