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Finding the Fourth Proportional to 664.34, 917.06 and 477.90

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Solution

The fourth proportional to 664.34, 917.06 and 477.90 is: 659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.34 : 917.06 = 477.90 : x
  2. Step 2: Convert to fraction form
    664.34/917.06 = 477.90/x
  3. Step 3: Cross multiply
    664.34x = 917.06 × 477.90
  4. Step 4: Simplify right side
    664.34x = 438,260.58
  5. Step 5: Solve for x
    x = 438,260.58/664.34
  6. Step 6: Final answer
    x = 659.70

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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.