Home / 1,210.06-1,814.46-429.76

Finding the Fourth Proportional to 1,210.06, 1,814.46 and 429.76

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Solution

The fourth proportional to 1,210.06, 1,814.46 and 429.76 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.06 : 1,814.46 = 429.76 : x
  2. Step 2: Convert to fraction form
    1,210.06/1,814.46 = 429.76/x
  3. Step 3: Cross multiply
    1,210.06x = 1,814.46 × 429.76
  4. Step 4: Simplify right side
    1,210.06x = 779,782.33
  5. Step 5: Solve for x
    x = 779,782.33/1,210.06
  6. Step 6: Final answer
    x = 644.42

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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.