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Finding the Fourth Proportional to 933.56, 1,399.52 and 470.70

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Solution

The fourth proportional to 933.56, 1,399.52 and 470.70 is: 705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.56 : 1,399.52 = 470.70 : x
  2. Step 2: Convert to fraction form
    933.56/1,399.52 = 470.70/x
  3. Step 3: Cross multiply
    933.56x = 1,399.52 × 470.70
  4. Step 4: Simplify right side
    933.56x = 658,754.06
  5. Step 5: Solve for x
    x = 658,754.06/933.56
  6. Step 6: Final answer
    x = 705.64

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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.