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Finding the Fourth Proportional to 476.57, 660.21 and 465.23

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Solution

The fourth proportional to 476.57, 660.21 and 465.23 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.57 : 660.21 = 465.23 : x
  2. Step 2: Convert to fraction form
    476.57/660.21 = 465.23/x
  3. Step 3: Cross multiply
    476.57x = 660.21 × 465.23
  4. Step 4: Simplify right side
    476.57x = 307,146.20
  5. Step 5: Solve for x
    x = 307,146.20/476.57
  6. Step 6: Final answer
    x = 644.50

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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.