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Finding the Fourth Proportional to 1,722.42, 2,582.10 and 626.58

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Solution

The fourth proportional to 1,722.42, 2,582.10 and 626.58 is: 939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.42 : 2,582.10 = 626.58 : x
  2. Step 2: Convert to fraction form
    1,722.42/2,582.10 = 626.58/x
  3. Step 3: Cross multiply
    1,722.42x = 2,582.10 × 626.58
  4. Step 4: Simplify right side
    1,722.42x = 1,617,892.22
  5. Step 5: Solve for x
    x = 1,617,892.22/1,722.42
  6. Step 6: Final answer
    x = 939.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.