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Finding the Fourth Proportional to 1,140.69, 1,711.03 and 275

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Solution

The fourth proportional to 1,140.69, 1,711.03 and 275 is: 412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.69 : 1,711.03 = 275 : x
  2. Step 2: Convert to fraction form
    1,140.69/1,711.03 = 275/x
  3. Step 3: Cross multiply
    1,140.69x = 1,711.03 × 275
  4. Step 4: Simplify right side
    1,140.69x = 470,533.25
  5. Step 5: Solve for x
    x = 470,533.25/1,140.69
  6. Step 6: Final answer
    x = 412.50

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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.