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Finding the Fourth Proportional to 1,800.01, 2,699.74 and 645.76

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Solution

The fourth proportional to 1,800.01, 2,699.74 and 645.76 is: 968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.01 : 2,699.74 = 645.76 : x
  2. Step 2: Convert to fraction form
    1,800.01/2,699.74 = 645.76/x
  3. Step 3: Cross multiply
    1,800.01x = 2,699.74 × 645.76
  4. Step 4: Simplify right side
    1,800.01x = 1,743,384.10
  5. Step 5: Solve for x
    x = 1,743,384.10/1,800.01
  6. Step 6: Final answer
    x = 968.54

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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.