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Finding the Fourth Proportional to 933.63, 1,393.66 and 856.59

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Solution

The fourth proportional to 933.63, 1,393.66 and 856.59 is: 1,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.63 : 1,393.66 = 856.59 : x
  2. Step 2: Convert to fraction form
    933.63/1,393.66 = 856.59/x
  3. Step 3: Cross multiply
    933.63x = 1,393.66 × 856.59
  4. Step 4: Simplify right side
    933.63x = 1,193,793.08
  5. Step 5: Solve for x
    x = 1,193,793.08/933.63
  6. Step 6: Final answer
    x = 1,278.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.