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Finding the Fourth Proportional to 1,206.91, 1,808.54 and 897.31

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Solution

The fourth proportional to 1,206.91, 1,808.54 and 897.31 is: 1,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.91 : 1,808.54 = 897.31 : x
  2. Step 2: Convert to fraction form
    1,206.91/1,808.54 = 897.31/x
  3. Step 3: Cross multiply
    1,206.91x = 1,808.54 × 897.31
  4. Step 4: Simplify right side
    1,206.91x = 1,622,807.50
  5. Step 5: Solve for x
    x = 1,622,807.50/1,206.91
  6. Step 6: Final answer
    x = 1,344.60

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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.