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Finding the Fourth Proportional to 619.51, 854.87 and 353.99

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Solution

The fourth proportional to 619.51, 854.87 and 353.99 is: 488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.51 : 854.87 = 353.99 : x
  2. Step 2: Convert to fraction form
    619.51/854.87 = 353.99/x
  3. Step 3: Cross multiply
    619.51x = 854.87 × 353.99
  4. Step 4: Simplify right side
    619.51x = 302,612.04
  5. Step 5: Solve for x
    x = 302,612.04/619.51
  6. Step 6: Final answer
    x = 488.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.