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Finding the Fourth Proportional to 1,297.64, 1,947.40 and 973.88

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Solution

The fourth proportional to 1,297.64, 1,947.40 and 973.88 is: 1,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.64 : 1,947.40 = 973.88 : x
  2. Step 2: Convert to fraction form
    1,297.64/1,947.40 = 973.88/x
  3. Step 3: Cross multiply
    1,297.64x = 1,947.40 × 973.88
  4. Step 4: Simplify right side
    1,297.64x = 1,896,533.91
  5. Step 5: Solve for x
    x = 1,896,533.91/1,297.64
  6. Step 6: Final answer
    x = 1,461.53

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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.