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Finding the Fourth Proportional to 546.94, 815.54 and 539.65

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Solution

The fourth proportional to 546.94, 815.54 and 539.65 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 815.54 = 539.65 : x
  2. Step 2: Convert to fraction form
    546.94/815.54 = 539.65/x
  3. Step 3: Cross multiply
    546.94x = 815.54 × 539.65
  4. Step 4: Simplify right side
    546.94x = 440,106.16
  5. Step 5: Solve for x
    x = 440,106.16/546.94
  6. Step 6: Final answer
    x = 804.67

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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.