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Finding the Fourth Proportional to 1,297.85, 1,947.65 and 476.78

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Solution

The fourth proportional to 1,297.85, 1,947.65 and 476.78 is: 715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.85 : 1,947.65 = 476.78 : x
  2. Step 2: Convert to fraction form
    1,297.85/1,947.65 = 476.78/x
  3. Step 3: Cross multiply
    1,297.85x = 1,947.65 × 476.78
  4. Step 4: Simplify right side
    1,297.85x = 928,588.44
  5. Step 5: Solve for x
    x = 928,588.44/1,297.85
  6. Step 6: Final answer
    x = 715.48

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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.