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Finding the Fourth Proportional to 936.78, 1,405.55 and 389.35

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Solution

The fourth proportional to 936.78, 1,405.55 and 389.35 is: 584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.78 : 1,405.55 = 389.35 : x
  2. Step 2: Convert to fraction form
    936.78/1,405.55 = 389.35/x
  3. Step 3: Cross multiply
    936.78x = 1,405.55 × 389.35
  4. Step 4: Simplify right side
    936.78x = 547,250.89
  5. Step 5: Solve for x
    x = 547,250.89/936.78
  6. Step 6: Final answer
    x = 584.18

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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.