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Finding the Fourth Proportional to 1,307.64, 1,961.45 and 333.74

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Solution

The fourth proportional to 1,307.64, 1,961.45 and 333.74 is: 500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,961.45 = 333.74 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,961.45 = 333.74/x
  3. Step 3: Cross multiply
    1,307.64x = 1,961.45 × 333.74
  4. Step 4: Simplify right side
    1,307.64x = 654,620.69
  5. Step 5: Solve for x
    x = 654,620.69/1,307.64
  6. Step 6: Final answer
    x = 500.61

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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.