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Finding the Fourth Proportional to 1,032.81, 1,425.09 and 835.98

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Solution

The fourth proportional to 1,032.81, 1,425.09 and 835.98 is: 1,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.81 : 1,425.09 = 835.98 : x
  2. Step 2: Convert to fraction form
    1,032.81/1,425.09 = 835.98/x
  3. Step 3: Cross multiply
    1,032.81x = 1,425.09 × 835.98
  4. Step 4: Simplify right side
    1,032.81x = 1,191,346.74
  5. Step 5: Solve for x
    x = 1,191,346.74/1,032.81
  6. Step 6: Final answer
    x = 1,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.