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Finding the Fourth Proportional to 1,164.49, 1,745.70 and 433.57

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Solution

The fourth proportional to 1,164.49, 1,745.70 and 433.57 is: 649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.49 : 1,745.70 = 433.57 : x
  2. Step 2: Convert to fraction form
    1,164.49/1,745.70 = 433.57/x
  3. Step 3: Cross multiply
    1,164.49x = 1,745.70 × 433.57
  4. Step 4: Simplify right side
    1,164.49x = 756,880.98
  5. Step 5: Solve for x
    x = 756,880.98/1,164.49
  6. Step 6: Final answer
    x = 649.97

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1.5x scale

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.