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Finding the Fourth Proportional to 701.36, 1,052.44 and 413

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Solution

The fourth proportional to 701.36, 1,052.44 and 413 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.36 : 1,052.44 = 413 : x
  2. Step 2: Convert to fraction form
    701.36/1,052.44 = 413/x
  3. Step 3: Cross multiply
    701.36x = 1,052.44 × 413
  4. Step 4: Simplify right side
    701.36x = 434,657.72
  5. Step 5: Solve for x
    x = 434,657.72/701.36
  6. Step 6: Final answer
    x = 619.74

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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.