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Finding the Fourth Proportional to 1,028.16, 1,420.07 and 696.01

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Solution

The fourth proportional to 1,028.16, 1,420.07 and 696.01 is: 961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.16 : 1,420.07 = 696.01 : x
  2. Step 2: Convert to fraction form
    1,028.16/1,420.07 = 696.01/x
  3. Step 3: Cross multiply
    1,028.16x = 1,420.07 × 696.01
  4. Step 4: Simplify right side
    1,028.16x = 988,381.11
  5. Step 5: Solve for x
    x = 988,381.11/1,028.16
  6. Step 6: Final answer
    x = 961.31

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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.