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Finding the Fourth Proportional to 933.01, 1,397.66 and 856.46

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Solution

The fourth proportional to 933.01, 1,397.66 and 856.46 is: 1,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.01 : 1,397.66 = 856.46 : x
  2. Step 2: Convert to fraction form
    933.01/1,397.66 = 856.46/x
  3. Step 3: Cross multiply
    933.01x = 1,397.66 × 856.46
  4. Step 4: Simplify right side
    933.01x = 1,197,039.10
  5. Step 5: Solve for x
    x = 1,197,039.10/933.01
  6. Step 6: Final answer
    x = 1,282.99

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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.