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Finding the Fourth Proportional to 664.78, 997.33 and 470.16

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Solution

The fourth proportional to 664.78, 997.33 and 470.16 is: 705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.78 : 997.33 = 470.16 : x
  2. Step 2: Convert to fraction form
    664.78/997.33 = 470.16/x
  3. Step 3: Cross multiply
    664.78x = 997.33 × 470.16
  4. Step 4: Simplify right side
    664.78x = 468,904.67
  5. Step 5: Solve for x
    x = 468,904.67/664.78
  6. Step 6: Final answer
    x = 705.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.