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Finding the Fourth Proportional to 619.48, 854.70 and 353.86

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Solution

The fourth proportional to 619.48, 854.70 and 353.86 is: 488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.48 : 854.70 = 353.86 : x
  2. Step 2: Convert to fraction form
    619.48/854.70 = 353.86/x
  3. Step 3: Cross multiply
    619.48x = 854.70 × 353.86
  4. Step 4: Simplify right side
    619.48x = 302,444.14
  5. Step 5: Solve for x
    x = 302,444.14/619.48
  6. Step 6: Final answer
    x = 488.22

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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.