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Finding the Fourth Proportional to 1,431.85, 2,146.98 and 774.51

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Solution

The fourth proportional to 1,431.85, 2,146.98 and 774.51 is: 1,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.85 : 2,146.98 = 774.51 : x
  2. Step 2: Convert to fraction form
    1,431.85/2,146.98 = 774.51/x
  3. Step 3: Cross multiply
    1,431.85x = 2,146.98 × 774.51
  4. Step 4: Simplify right side
    1,431.85x = 1,662,857.48
  5. Step 5: Solve for x
    x = 1,662,857.48/1,431.85
  6. Step 6: Final answer
    x = 1,161.34

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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.