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Finding the Fourth Proportional to 936.10, 1,402.95 and 388.66

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Solution

The fourth proportional to 936.10, 1,402.95 and 388.66 is: 582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.10 : 1,402.95 = 388.66 : x
  2. Step 2: Convert to fraction form
    936.10/1,402.95 = 388.66/x
  3. Step 3: Cross multiply
    936.10x = 1,402.95 × 388.66
  4. Step 4: Simplify right side
    936.10x = 545,270.55
  5. Step 5: Solve for x
    x = 545,270.55/936.10
  6. Step 6: Final answer
    x = 582.49

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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.