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Finding the Fourth Proportional to 619.93, 930.35 and 499.65

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Solution

The fourth proportional to 619.93, 930.35 and 499.65 is: 749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.93 : 930.35 = 499.65 : x
  2. Step 2: Convert to fraction form
    619.93/930.35 = 499.65/x
  3. Step 3: Cross multiply
    619.93x = 930.35 × 499.65
  4. Step 4: Simplify right side
    619.93x = 464,849.38
  5. Step 5: Solve for x
    x = 464,849.38/619.93
  6. Step 6: Final answer
    x = 749.84

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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.