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Finding the Fourth Proportional to 476.33, 657.05 and 289.72

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Solution

The fourth proportional to 476.33, 657.05 and 289.72 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.33 : 657.05 = 289.72 : x
  2. Step 2: Convert to fraction form
    476.33/657.05 = 289.72/x
  3. Step 3: Cross multiply
    476.33x = 657.05 × 289.72
  4. Step 4: Simplify right side
    476.33x = 190,360.53
  5. Step 5: Solve for x
    x = 190,360.53/476.33
  6. Step 6: Final answer
    x = 399.64

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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.