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Finding the Fourth Proportional to 492.83, 739.55 and 446.65

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Solution

The fourth proportional to 492.83, 739.55 and 446.65 is: 670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.83 : 739.55 = 446.65 : x
  2. Step 2: Convert to fraction form
    492.83/739.55 = 446.65/x
  3. Step 3: Cross multiply
    492.83x = 739.55 × 446.65
  4. Step 4: Simplify right side
    492.83x = 330,319.28
  5. Step 5: Solve for x
    x = 330,319.28/492.83
  6. Step 6: Final answer
    x = 670.25

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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.