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Finding the Fourth Proportional to 1,140.82, 1,711.23 and 275.13

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Solution

The fourth proportional to 1,140.82, 1,711.23 and 275.13 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.82 : 1,711.23 = 275.13 : x
  2. Step 2: Convert to fraction form
    1,140.82/1,711.23 = 275.13/x
  3. Step 3: Cross multiply
    1,140.82x = 1,711.23 × 275.13
  4. Step 4: Simplify right side
    1,140.82x = 470,810.71
  5. Step 5: Solve for x
    x = 470,810.71/1,140.82
  6. Step 6: Final answer
    x = 412.70

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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.