Home / 1,039.02-1,558.52-309.09

Finding the Fourth Proportional to 1,039.02, 1,558.52 and 309.09

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Solution

The fourth proportional to 1,039.02, 1,558.52 and 309.09 is: 463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.02 : 1,558.52 = 309.09 : x
  2. Step 2: Convert to fraction form
    1,039.02/1,558.52 = 309.09/x
  3. Step 3: Cross multiply
    1,039.02x = 1,558.52 × 309.09
  4. Step 4: Simplify right side
    1,039.02x = 481,721.40
  5. Step 5: Solve for x
    x = 481,721.40/1,039.02
  6. Step 6: Final answer
    x = 463.63

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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.