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Finding the Fourth Proportional to 749.45, 1,033.77 and 536.37

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Solution

The fourth proportional to 749.45, 1,033.77 and 536.37 is: 739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.45 : 1,033.77 = 536.37 : x
  2. Step 2: Convert to fraction form
    749.45/1,033.77 = 536.37/x
  3. Step 3: Cross multiply
    749.45x = 1,033.77 × 536.37
  4. Step 4: Simplify right side
    749.45x = 554,483.21
  5. Step 5: Solve for x
    x = 554,483.21/749.45
  6. Step 6: Final answer
    x = 739.85

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1.5x scale

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.