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Finding the Fourth Proportional to 933.96, 1,400.36 and 471.50

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Solution

The fourth proportional to 933.96, 1,400.36 and 471.50 is: 706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.96 : 1,400.36 = 471.50 : x
  2. Step 2: Convert to fraction form
    933.96/1,400.36 = 471.50/x
  3. Step 3: Cross multiply
    933.96x = 1,400.36 × 471.50
  4. Step 4: Simplify right side
    933.96x = 660,265.67
  5. Step 5: Solve for x
    x = 660,265.67/933.96
  6. Step 6: Final answer
    x = 706.96

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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.