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Finding the Fourth Proportional to 933.12, 1,400.16 and 812.88

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Solution

The fourth proportional to 933.12, 1,400.16 and 812.88 is: 1,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.12 : 1,400.16 = 812.88 : x
  2. Step 2: Convert to fraction form
    933.12/1,400.16 = 812.88/x
  3. Step 3: Cross multiply
    933.12x = 1,400.16 × 812.88
  4. Step 4: Simplify right side
    933.12x = 1,138,162.06
  5. Step 5: Solve for x
    x = 1,138,162.06/933.12
  6. Step 6: Final answer
    x = 1,219.74

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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.