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Finding the Fourth Proportional to 1,402.68, 1,935.32 and 842.96

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Solution

The fourth proportional to 1,402.68, 1,935.32 and 842.96 is: 1,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.68 : 1,935.32 = 842.96 : x
  2. Step 2: Convert to fraction form
    1,402.68/1,935.32 = 842.96/x
  3. Step 3: Cross multiply
    1,402.68x = 1,935.32 × 842.96
  4. Step 4: Simplify right side
    1,402.68x = 1,631,397.35
  5. Step 5: Solve for x
    x = 1,631,397.35/1,402.68
  6. Step 6: Final answer
    x = 1,163.06

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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.