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Finding the Fourth Proportional to 1,297.58, 1,947.07 and 604.57

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Solution

The fourth proportional to 1,297.58, 1,947.07 and 604.57 is: 907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.58 : 1,947.07 = 604.57 : x
  2. Step 2: Convert to fraction form
    1,297.58/1,947.07 = 604.57/x
  3. Step 3: Cross multiply
    1,297.58x = 1,947.07 × 604.57
  4. Step 4: Simplify right side
    1,297.58x = 1,177,139.65
  5. Step 5: Solve for x
    x = 1,177,139.65/1,297.58
  6. Step 6: Final answer
    x = 907.18

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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.