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Finding the Fourth Proportional to 609.08, 840.27 and 478.47

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Solution

The fourth proportional to 609.08, 840.27 and 478.47 is: 660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.08 : 840.27 = 478.47 : x
  2. Step 2: Convert to fraction form
    609.08/840.27 = 478.47/x
  3. Step 3: Cross multiply
    609.08x = 840.27 × 478.47
  4. Step 4: Simplify right side
    609.08x = 402,043.24
  5. Step 5: Solve for x
    x = 402,043.24/609.08
  6. Step 6: Final answer
    x = 660.08

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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.