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Finding the Fourth Proportional to 936.03, 1,401.39 and 524.10

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Solution

The fourth proportional to 936.03, 1,401.39 and 524.10 is: 784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.03 : 1,401.39 = 524.10 : x
  2. Step 2: Convert to fraction form
    936.03/1,401.39 = 524.10/x
  3. Step 3: Cross multiply
    936.03x = 1,401.39 × 524.10
  4. Step 4: Simplify right side
    936.03x = 734,468.50
  5. Step 5: Solve for x
    x = 734,468.50/936.03
  6. Step 6: Final answer
    x = 784.66

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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.