Home / 1,095.03-1,642.37-314.85

Finding the Fourth Proportional to 1,095.03, 1,642.37 and 314.85

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Solution

The fourth proportional to 1,095.03, 1,642.37 and 314.85 is: 472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.03 : 1,642.37 = 314.85 : x
  2. Step 2: Convert to fraction form
    1,095.03/1,642.37 = 314.85/x
  3. Step 3: Cross multiply
    1,095.03x = 1,642.37 × 314.85
  4. Step 4: Simplify right side
    1,095.03x = 517,103.51
  5. Step 5: Solve for x
    x = 517,103.51/1,095.03
  6. Step 6: Final answer
    x = 472.23

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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.