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Finding the Fourth Proportional to 1,218.98, 1,682.23 and 746.87

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Solution

The fourth proportional to 1,218.98, 1,682.23 and 746.87 is: 1,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.98 : 1,682.23 = 746.87 : x
  2. Step 2: Convert to fraction form
    1,218.98/1,682.23 = 746.87/x
  3. Step 3: Cross multiply
    1,218.98x = 1,682.23 × 746.87
  4. Step 4: Simplify right side
    1,218.98x = 1,256,407.12
  5. Step 5: Solve for x
    x = 1,256,407.12/1,218.98
  6. Step 6: Final answer
    x = 1,030.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.