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Finding the Fourth Proportional to 897.66, 1,237.56 and 617.79

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Solution

The fourth proportional to 897.66, 1,237.56 and 617.79 is: 851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.66 : 1,237.56 = 617.79 : x
  2. Step 2: Convert to fraction form
    897.66/1,237.56 = 617.79/x
  3. Step 3: Cross multiply
    897.66x = 1,237.56 × 617.79
  4. Step 4: Simplify right side
    897.66x = 764,552.19
  5. Step 5: Solve for x
    x = 764,552.19/897.66
  6. Step 6: Final answer
    x = 851.72

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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.