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Finding the Fourth Proportional to 835.06, 1,247.47 and 601.96

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Solution

The fourth proportional to 835.06, 1,247.47 and 601.96 is: 899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.06 : 1,247.47 = 601.96 : x
  2. Step 2: Convert to fraction form
    835.06/1,247.47 = 601.96/x
  3. Step 3: Cross multiply
    835.06x = 1,247.47 × 601.96
  4. Step 4: Simplify right side
    835.06x = 750,927.04
  5. Step 5: Solve for x
    x = 750,927.04/835.06
  6. Step 6: Final answer
    x = 899.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.