Home / 1,085.24-1,628.51-997.01

Finding the Fourth Proportional to 1,085.24, 1,628.51 and 997.01

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Solution

The fourth proportional to 1,085.24, 1,628.51 and 997.01 is: 1,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.24 : 1,628.51 = 997.01 : x
  2. Step 2: Convert to fraction form
    1,085.24/1,628.51 = 997.01/x
  3. Step 3: Cross multiply
    1,085.24x = 1,628.51 × 997.01
  4. Step 4: Simplify right side
    1,085.24x = 1,623,635.77
  5. Step 5: Solve for x
    x = 1,623,635.77/1,085.24
  6. Step 6: Final answer
    x = 1,496.11

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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.