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Finding the Fourth Proportional to 936.68, 1,403.16 and 644.12

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Solution

The fourth proportional to 936.68, 1,403.16 and 644.12 is: 964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.68 : 1,403.16 = 644.12 : x
  2. Step 2: Convert to fraction form
    936.68/1,403.16 = 644.12/x
  3. Step 3: Cross multiply
    936.68x = 1,403.16 × 644.12
  4. Step 4: Simplify right side
    936.68x = 903,803.42
  5. Step 5: Solve for x
    x = 903,803.42/936.68
  6. Step 6: Final answer
    x = 964.90

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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.