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Finding the Fourth Proportional to 546.62, 817.80 and 500.65

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Solution

The fourth proportional to 546.62, 817.80 and 500.65 is: 749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.62 : 817.80 = 500.65 : x
  2. Step 2: Convert to fraction form
    546.62/817.80 = 500.65/x
  3. Step 3: Cross multiply
    546.62x = 817.80 × 500.65
  4. Step 4: Simplify right side
    546.62x = 409,433.53
  5. Step 5: Solve for x
    x = 409,433.53/546.62
  6. Step 6: Final answer
    x = 749.03

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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.