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Finding the Fourth Proportional to 1,484.29, 2,223.46 and 770.68

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Solution

The fourth proportional to 1,484.29, 2,223.46 and 770.68 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.29 : 2,223.46 = 770.68 : x
  2. Step 2: Convert to fraction form
    1,484.29/2,223.46 = 770.68/x
  3. Step 3: Cross multiply
    1,484.29x = 2,223.46 × 770.68
  4. Step 4: Simplify right side
    1,484.29x = 1,713,576.15
  5. Step 5: Solve for x
    x = 1,713,576.15/1,484.29
  6. Step 6: Final answer
    x = 1,154.48

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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.