Home / 1,307.64-1,961.01-441.75

Finding the Fourth Proportional to 1,307.64, 1,961.01 and 441.75

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Solution

The fourth proportional to 1,307.64, 1,961.01 and 441.75 is: 662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,961.01 = 441.75 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,961.01 = 441.75/x
  3. Step 3: Cross multiply
    1,307.64x = 1,961.01 × 441.75
  4. Step 4: Simplify right side
    1,307.64x = 866,276.17
  5. Step 5: Solve for x
    x = 866,276.17/1,307.64
  6. Step 6: Final answer
    x = 662.47

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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.