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Finding the Fourth Proportional to 1,688.00, 2,533.04 and 1,069.49

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Solution

The fourth proportional to 1,688.00, 2,533.04 and 1,069.49 is: 1,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.00 : 2,533.04 = 1,069.49 : x
  2. Step 2: Convert to fraction form
    1,688.00/2,533.04 = 1,069.49/x
  3. Step 3: Cross multiply
    1,688.00x = 2,533.04 × 1,069.49
  4. Step 4: Simplify right side
    1,688.00x = 2,709,061.93
  5. Step 5: Solve for x
    x = 2,709,061.93/1,688.00
  6. Step 6: Final answer
    x = 1,604.89

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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.