Home / 1,210.28-1,814.94-430.09

Finding the Fourth Proportional to 1,210.28, 1,814.94 and 430.09

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Solution

The fourth proportional to 1,210.28, 1,814.94 and 430.09 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.28 : 1,814.94 = 430.09 : x
  2. Step 2: Convert to fraction form
    1,210.28/1,814.94 = 430.09/x
  3. Step 3: Cross multiply
    1,210.28x = 1,814.94 × 430.09
  4. Step 4: Simplify right side
    1,210.28x = 780,583.01
  5. Step 5: Solve for x
    x = 780,583.01/1,210.28
  6. Step 6: Final answer
    x = 644.96

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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.