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Finding the Fourth Proportional to 611.35, 842.68 and 478.35

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Solution

The fourth proportional to 611.35, 842.68 and 478.35 is: 659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.35 : 842.68 = 478.35 : x
  2. Step 2: Convert to fraction form
    611.35/842.68 = 478.35/x
  3. Step 3: Cross multiply
    611.35x = 842.68 × 478.35
  4. Step 4: Simplify right side
    611.35x = 403,091.76
  5. Step 5: Solve for x
    x = 403,091.76/611.35
  6. Step 6: Final answer
    x = 659.35

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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.