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Finding the Fourth Proportional to 897.66, 1,238.00 and 617.45

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Solution

The fourth proportional to 897.66, 1,238.00 and 617.45 is: 851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.66 : 1,238.00 = 617.45 : x
  2. Step 2: Convert to fraction form
    897.66/1,238.00 = 617.45/x
  3. Step 3: Cross multiply
    897.66x = 1,238.00 × 617.45
  4. Step 4: Simplify right side
    897.66x = 764,393.82
  5. Step 5: Solve for x
    x = 764,393.82/897.66
  6. Step 6: Final answer
    x = 851.54

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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.