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Finding the Fourth Proportional to 1,290.66, 1,931.21 and 770.94

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Solution

The fourth proportional to 1,290.66, 1,931.21 and 770.94 is: 1,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.66 : 1,931.21 = 770.94 : x
  2. Step 2: Convert to fraction form
    1,290.66/1,931.21 = 770.94/x
  3. Step 3: Cross multiply
    1,290.66x = 1,931.21 × 770.94
  4. Step 4: Simplify right side
    1,290.66x = 1,488,851.15
  5. Step 5: Solve for x
    x = 1,488,851.15/1,290.66
  6. Step 6: Final answer
    x = 1,153.56

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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.