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Finding the Fourth Proportional to 1,301.37, 1,795.87 and 711.89

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Solution

The fourth proportional to 1,301.37, 1,795.87 and 711.89 is: 982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.37 : 1,795.87 = 711.89 : x
  2. Step 2: Convert to fraction form
    1,301.37/1,795.87 = 711.89/x
  3. Step 3: Cross multiply
    1,301.37x = 1,795.87 × 711.89
  4. Step 4: Simplify right side
    1,301.37x = 1,278,460.54
  5. Step 5: Solve for x
    x = 1,278,460.54/1,301.37
  6. Step 6: Final answer
    x = 982.40

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1.5x scale

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.