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Finding the Fourth Proportional to 1,407.87, 2,106.54 and 998.01

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Solution

The fourth proportional to 1,407.87, 2,106.54 and 998.01 is: 1,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.87 : 2,106.54 = 998.01 : x
  2. Step 2: Convert to fraction form
    1,407.87/2,106.54 = 998.01/x
  3. Step 3: Cross multiply
    1,407.87x = 2,106.54 × 998.01
  4. Step 4: Simplify right side
    1,407.87x = 2,102,347.99
  5. Step 5: Solve for x
    x = 2,102,347.99/1,407.87
  6. Step 6: Final answer
    x = 1,493.28

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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.