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Finding the Fourth Proportional to 933.96, 1,401.08 and 317.72

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Solution

The fourth proportional to 933.96, 1,401.08 and 317.72 is: 476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.96 : 1,401.08 = 317.72 : x
  2. Step 2: Convert to fraction form
    933.96/1,401.08 = 317.72/x
  3. Step 3: Cross multiply
    933.96x = 1,401.08 × 317.72
  4. Step 4: Simplify right side
    933.96x = 445,151.14
  5. Step 5: Solve for x
    x = 445,151.14/933.96
  6. Step 6: Final answer
    x = 476.63

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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.