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Finding the Fourth Proportional to 1,301.20, 1,795.57 and 711.72

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Solution

The fourth proportional to 1,301.20, 1,795.57 and 711.72 is: 982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.20 : 1,795.57 = 711.72 : x
  2. Step 2: Convert to fraction form
    1,301.20/1,795.57 = 711.72/x
  3. Step 3: Cross multiply
    1,301.20x = 1,795.57 × 711.72
  4. Step 4: Simplify right side
    1,301.20x = 1,277,941.30
  5. Step 5: Solve for x
    x = 1,277,941.30/1,301.20
  6. Step 6: Final answer
    x = 982.13

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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.