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Finding the Fourth Proportional to 1,297.83, 1,947.66 and 567.63

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Solution

The fourth proportional to 1,297.83, 1,947.66 and 567.63 is: 851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.83 : 1,947.66 = 567.63 : x
  2. Step 2: Convert to fraction form
    1,297.83/1,947.66 = 567.63/x
  3. Step 3: Cross multiply
    1,297.83x = 1,947.66 × 567.63
  4. Step 4: Simplify right side
    1,297.83x = 1,105,550.25
  5. Step 5: Solve for x
    x = 1,105,550.25/1,297.83
  6. Step 6: Final answer
    x = 851.85

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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.