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Finding the Fourth Proportional to 619.30, 924.41 and 546.40

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Solution

The fourth proportional to 619.30, 924.41 and 546.40 is: 815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.30 : 924.41 = 546.40 : x
  2. Step 2: Convert to fraction form
    619.30/924.41 = 546.40/x
  3. Step 3: Cross multiply
    619.30x = 924.41 × 546.40
  4. Step 4: Simplify right side
    619.30x = 505,097.62
  5. Step 5: Solve for x
    x = 505,097.62/619.30
  6. Step 6: Final answer
    x = 815.59

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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.