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Finding the Fourth Proportional to 835.90, 1,254.10 and 397.49

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Solution

The fourth proportional to 835.90, 1,254.10 and 397.49 is: 596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.90 : 1,254.10 = 397.49 : x
  2. Step 2: Convert to fraction form
    835.90/1,254.10 = 397.49/x
  3. Step 3: Cross multiply
    835.90x = 1,254.10 × 397.49
  4. Step 4: Simplify right side
    835.90x = 498,485.69
  5. Step 5: Solve for x
    x = 498,485.69/835.90
  6. Step 6: Final answer
    x = 596.35

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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.