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Finding the Fourth Proportional to 1,291.67, 1,938.41 and 771.35

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Solution

The fourth proportional to 1,291.67, 1,938.41 and 771.35 is: 1,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.67 : 1,938.41 = 771.35 : x
  2. Step 2: Convert to fraction form
    1,291.67/1,938.41 = 771.35/x
  3. Step 3: Cross multiply
    1,291.67x = 1,938.41 × 771.35
  4. Step 4: Simplify right side
    1,291.67x = 1,495,184.79
  5. Step 5: Solve for x
    x = 1,495,184.79/1,291.67
  6. Step 6: Final answer
    x = 1,157.56

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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.