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Finding the Fourth Proportional to 1,330.53, 1,995.70 and 452.96

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Solution

The fourth proportional to 1,330.53, 1,995.70 and 452.96 is: 679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.53 : 1,995.70 = 452.96 : x
  2. Step 2: Convert to fraction form
    1,330.53/1,995.70 = 452.96/x
  3. Step 3: Cross multiply
    1,330.53x = 1,995.70 × 452.96
  4. Step 4: Simplify right side
    1,330.53x = 903,972.27
  5. Step 5: Solve for x
    x = 903,972.27/1,330.53
  6. Step 6: Final answer
    x = 679.41

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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.