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Finding the Fourth Proportional to 713.09, 1,069.82 and 420.83

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Solution

The fourth proportional to 713.09, 1,069.82 and 420.83 is: 631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.09 : 1,069.82 = 420.83 : x
  2. Step 2: Convert to fraction form
    713.09/1,069.82 = 420.83/x
  3. Step 3: Cross multiply
    713.09x = 1,069.82 × 420.83
  4. Step 4: Simplify right side
    713.09x = 450,212.92
  5. Step 5: Solve for x
    x = 450,212.92/713.09
  6. Step 6: Final answer
    x = 631.35

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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.