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Finding the Fourth Proportional to 835.89, 1,253.15 and 419.15

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Solution

The fourth proportional to 835.89, 1,253.15 and 419.15 is: 628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.89 : 1,253.15 = 419.15 : x
  2. Step 2: Convert to fraction form
    835.89/1,253.15 = 419.15/x
  3. Step 3: Cross multiply
    835.89x = 1,253.15 × 419.15
  4. Step 4: Simplify right side
    835.89x = 525,257.82
  5. Step 5: Solve for x
    x = 525,257.82/835.89
  6. Step 6: Final answer
    x = 628.38

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Double scale
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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.