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Finding the Fourth Proportional to 1,303.10, 1,953.16 and 676.63

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Solution

The fourth proportional to 1,303.10, 1,953.16 and 676.63 is: 1,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.10 : 1,953.16 = 676.63 : x
  2. Step 2: Convert to fraction form
    1,303.10/1,953.16 = 676.63/x
  3. Step 3: Cross multiply
    1,303.10x = 1,953.16 × 676.63
  4. Step 4: Simplify right side
    1,303.10x = 1,321,571.21
  5. Step 5: Solve for x
    x = 1,321,571.21/1,303.10
  6. Step 6: Final answer
    x = 1,014.18

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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.