Home / 1,509.02-2,082.36-845.75

Finding the Fourth Proportional to 1,509.02, 2,082.36 and 845.75

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Solution

The fourth proportional to 1,509.02, 2,082.36 and 845.75 is: 1,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.02 : 2,082.36 = 845.75 : x
  2. Step 2: Convert to fraction form
    1,509.02/2,082.36 = 845.75/x
  3. Step 3: Cross multiply
    1,509.02x = 2,082.36 × 845.75
  4. Step 4: Simplify right side
    1,509.02x = 1,761,155.97
  5. Step 5: Solve for x
    x = 1,761,155.97/1,509.02
  6. Step 6: Final answer
    x = 1,167.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.