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Finding the Fourth Proportional to 933.64, 1,401.27 and 446.83

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Solution

The fourth proportional to 933.64, 1,401.27 and 446.83 is: 670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.64 : 1,401.27 = 446.83 : x
  2. Step 2: Convert to fraction form
    933.64/1,401.27 = 446.83/x
  3. Step 3: Cross multiply
    933.64x = 1,401.27 × 446.83
  4. Step 4: Simplify right side
    933.64x = 626,129.47
  5. Step 5: Solve for x
    x = 626,129.47/933.64
  6. Step 6: Final answer
    x = 670.63

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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.