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Finding the Fourth Proportional to 1,210.57, 1,813.96 and 967.03

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Solution

The fourth proportional to 1,210.57, 1,813.96 and 967.03 is: 1,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.57 : 1,813.96 = 967.03 : x
  2. Step 2: Convert to fraction form
    1,210.57/1,813.96 = 967.03/x
  3. Step 3: Cross multiply
    1,210.57x = 1,813.96 × 967.03
  4. Step 4: Simplify right side
    1,210.57x = 1,754,153.74
  5. Step 5: Solve for x
    x = 1,754,153.74/1,210.57
  6. Step 6: Final answer
    x = 1,449.03

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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.