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Finding the Fourth Proportional to 1,406.40, 2,110.05 and 626.10

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Solution

The fourth proportional to 1,406.40, 2,110.05 and 626.10 is: 939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.40 : 2,110.05 = 626.10 : x
  2. Step 2: Convert to fraction form
    1,406.40/2,110.05 = 626.10/x
  3. Step 3: Cross multiply
    1,406.40x = 2,110.05 × 626.10
  4. Step 4: Simplify right side
    1,406.40x = 1,321,102.31
  5. Step 5: Solve for x
    x = 1,321,102.31/1,406.40
  6. Step 6: Final answer
    x = 939.35

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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.