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Finding the Fourth Proportional to 1,369.19, 2,053.70 and 546.87

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Solution

The fourth proportional to 1,369.19, 2,053.70 and 546.87 is: 820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.19 : 2,053.70 = 546.87 : x
  2. Step 2: Convert to fraction form
    1,369.19/2,053.70 = 546.87/x
  3. Step 3: Cross multiply
    1,369.19x = 2,053.70 × 546.87
  4. Step 4: Simplify right side
    1,369.19x = 1,123,113.94
  5. Step 5: Solve for x
    x = 1,123,113.94/1,369.19
  6. Step 6: Final answer
    x = 820.27

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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.