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Finding the Fourth Proportional to 1,656.98, 2,485.46 and 835.94

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Solution

The fourth proportional to 1,656.98, 2,485.46 and 835.94 is: 1,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.98 : 2,485.46 = 835.94 : x
  2. Step 2: Convert to fraction form
    1,656.98/2,485.46 = 835.94/x
  3. Step 3: Cross multiply
    1,656.98x = 2,485.46 × 835.94
  4. Step 4: Simplify right side
    1,656.98x = 2,077,683.01
  5. Step 5: Solve for x
    x = 2,077,683.01/1,656.98
  6. Step 6: Final answer
    x = 1,253.90

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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.