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Finding the Fourth Proportional to 1,053.61, 1,453.34 and 774.56

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Solution

The fourth proportional to 1,053.61, 1,453.34 and 774.56 is: 1,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.61 : 1,453.34 = 774.56 : x
  2. Step 2: Convert to fraction form
    1,053.61/1,453.34 = 774.56/x
  3. Step 3: Cross multiply
    1,053.61x = 1,453.34 × 774.56
  4. Step 4: Simplify right side
    1,053.61x = 1,125,704.60
  5. Step 5: Solve for x
    x = 1,125,704.60/1,053.61
  6. Step 6: Final answer
    x = 1,068.43

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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.