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Finding the Fourth Proportional to 1,013.55, 1,399.28 and 733.49

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Solution

The fourth proportional to 1,013.55, 1,399.28 and 733.49 is: 1,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.55 : 1,399.28 = 733.49 : x
  2. Step 2: Convert to fraction form
    1,013.55/1,399.28 = 733.49/x
  3. Step 3: Cross multiply
    1,013.55x = 1,399.28 × 733.49
  4. Step 4: Simplify right side
    1,013.55x = 1,026,352.47
  5. Step 5: Solve for x
    x = 1,026,352.47/1,013.55
  6. Step 6: Final answer
    x = 1,012.64

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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.