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Finding the Fourth Proportional to 477.57, 661.60 and 466.23

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Solution

The fourth proportional to 477.57, 661.60 and 466.23 is: 645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 661.60 = 466.23 : x
  2. Step 2: Convert to fraction form
    477.57/661.60 = 466.23/x
  3. Step 3: Cross multiply
    477.57x = 661.60 × 466.23
  4. Step 4: Simplify right side
    477.57x = 308,457.77
  5. Step 5: Solve for x
    x = 308,457.77/477.57
  6. Step 6: Final answer
    x = 645.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.