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Finding the Fourth Proportional to 923.94, 1,274.99 and 531.05

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Solution

The fourth proportional to 923.94, 1,274.99 and 531.05 is: 732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.94 : 1,274.99 = 531.05 : x
  2. Step 2: Convert to fraction form
    923.94/1,274.99 = 531.05/x
  3. Step 3: Cross multiply
    923.94x = 1,274.99 × 531.05
  4. Step 4: Simplify right side
    923.94x = 677,074.41
  5. Step 5: Solve for x
    x = 677,074.41/923.94
  6. Step 6: Final answer
    x = 732.81

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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.