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Finding the Fourth Proportional to 897.99, 1,240.83 and 861.54

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Solution

The fourth proportional to 897.99, 1,240.83 and 861.54 is: 1,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.99 : 1,240.83 = 861.54 : x
  2. Step 2: Convert to fraction form
    897.99/1,240.83 = 861.54/x
  3. Step 3: Cross multiply
    897.99x = 1,240.83 × 861.54
  4. Step 4: Simplify right side
    897.99x = 1,069,024.68
  5. Step 5: Solve for x
    x = 1,069,024.68/897.99
  6. Step 6: Final answer
    x = 1,190.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.