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Finding the Fourth Proportional to 1,341.50, 1,851.26 and 751.98

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Solution

The fourth proportional to 1,341.50, 1,851.26 and 751.98 is: 1,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.50 : 1,851.26 = 751.98 : x
  2. Step 2: Convert to fraction form
    1,341.50/1,851.26 = 751.98/x
  3. Step 3: Cross multiply
    1,341.50x = 1,851.26 × 751.98
  4. Step 4: Simplify right side
    1,341.50x = 1,392,110.49
  5. Step 5: Solve for x
    x = 1,392,110.49/1,341.50
  6. Step 6: Final answer
    x = 1,037.73

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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.