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Finding the Fourth Proportional to 1,697.87, 2,546.81 and 465.29

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Solution

The fourth proportional to 1,697.87, 2,546.81 and 465.29 is: 697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.87 : 2,546.81 = 465.29 : x
  2. Step 2: Convert to fraction form
    1,697.87/2,546.81 = 465.29/x
  3. Step 3: Cross multiply
    1,697.87x = 2,546.81 × 465.29
  4. Step 4: Simplify right side
    1,697.87x = 1,185,001.46
  5. Step 5: Solve for x
    x = 1,185,001.46/1,697.87
  6. Step 6: Final answer
    x = 697.93

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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.