Home / 1,077.24-1,617.54-895.80

Finding the Fourth Proportional to 1,077.24, 1,617.54 and 895.80

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Solution

The fourth proportional to 1,077.24, 1,617.54 and 895.80 is: 1,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.24 : 1,617.54 = 895.80 : x
  2. Step 2: Convert to fraction form
    1,077.24/1,617.54 = 895.80/x
  3. Step 3: Cross multiply
    1,077.24x = 1,617.54 × 895.80
  4. Step 4: Simplify right side
    1,077.24x = 1,448,992.33
  5. Step 5: Solve for x
    x = 1,448,992.33/1,077.24
  6. Step 6: Final answer
    x = 1,345.10

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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.