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Finding the Fourth Proportional to 664.96, 917.76 and 389.12

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Solution

The fourth proportional to 664.96, 917.76 and 389.12 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.96 : 917.76 = 389.12 : x
  2. Step 2: Convert to fraction form
    664.96/917.76 = 389.12/x
  3. Step 3: Cross multiply
    664.96x = 917.76 × 389.12
  4. Step 4: Simplify right side
    664.96x = 357,118.77
  5. Step 5: Solve for x
    x = 357,118.77/664.96
  6. Step 6: Final answer
    x = 537.05

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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.