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Finding the Fourth Proportional to 1,798.68, 2,692.44 and 974.91

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Solution

The fourth proportional to 1,798.68, 2,692.44 and 974.91 is: 1,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.68 : 2,692.44 = 974.91 : x
  2. Step 2: Convert to fraction form
    1,798.68/2,692.44 = 974.91/x
  3. Step 3: Cross multiply
    1,798.68x = 2,692.44 × 974.91
  4. Step 4: Simplify right side
    1,798.68x = 2,624,886.68
  5. Step 5: Solve for x
    x = 2,624,886.68/1,798.68
  6. Step 6: Final answer
    x = 1,459.34

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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.