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Finding the Fourth Proportional to 1,722.40, 2,582.64 and 626.80

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Solution

The fourth proportional to 1,722.40, 2,582.64 and 626.80 is: 939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.40 : 2,582.64 = 626.80 : x
  2. Step 2: Convert to fraction form
    1,722.40/2,582.64 = 626.80/x
  3. Step 3: Cross multiply
    1,722.40x = 2,582.64 × 626.80
  4. Step 4: Simplify right side
    1,722.40x = 1,618,798.75
  5. Step 5: Solve for x
    x = 1,618,798.75/1,722.40
  6. Step 6: Final answer
    x = 939.85

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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.