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Finding the Fourth Proportional to 936.34, 1,402.75 and 783.25

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Solution

The fourth proportional to 936.34, 1,402.75 and 783.25 is: 1,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.34 : 1,402.75 = 783.25 : x
  2. Step 2: Convert to fraction form
    936.34/1,402.75 = 783.25/x
  3. Step 3: Cross multiply
    936.34x = 1,402.75 × 783.25
  4. Step 4: Simplify right side
    936.34x = 1,098,703.94
  5. Step 5: Solve for x
    x = 1,098,703.94/936.34
  6. Step 6: Final answer
    x = 1,173.40

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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.