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Finding the Fourth Proportional to 933.21, 1,284.60 and 807.12

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Solution

The fourth proportional to 933.21, 1,284.60 and 807.12 is: 1,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.21 : 1,284.60 = 807.12 : x
  2. Step 2: Convert to fraction form
    933.21/1,284.60 = 807.12/x
  3. Step 3: Cross multiply
    933.21x = 1,284.60 × 807.12
  4. Step 4: Simplify right side
    933.21x = 1,036,826.35
  5. Step 5: Solve for x
    x = 1,036,826.35/933.21
  6. Step 6: Final answer
    x = 1,111.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.