Home / 1,082.15-1,623.93-465.98

Finding the Fourth Proportional to 1,082.15, 1,623.93 and 465.98

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Solution

The fourth proportional to 1,082.15, 1,623.93 and 465.98 is: 699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.15 : 1,623.93 = 465.98 : x
  2. Step 2: Convert to fraction form
    1,082.15/1,623.93 = 465.98/x
  3. Step 3: Cross multiply
    1,082.15x = 1,623.93 × 465.98
  4. Step 4: Simplify right side
    1,082.15x = 756,718.90
  5. Step 5: Solve for x
    x = 756,718.90/1,082.15
  6. Step 6: Final answer
    x = 699.27

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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.