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Finding the Fourth Proportional to 835.97, 1,254.56 and 425.30

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Solution

The fourth proportional to 835.97, 1,254.56 and 425.30 is: 638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.97 : 1,254.56 = 425.30 : x
  2. Step 2: Convert to fraction form
    835.97/1,254.56 = 425.30/x
  3. Step 3: Cross multiply
    835.97x = 1,254.56 × 425.30
  4. Step 4: Simplify right side
    835.97x = 533,555.97
  5. Step 5: Solve for x
    x = 533,555.97/835.97
  6. Step 6: Final answer
    x = 638.25

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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.