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Finding the Fourth Proportional to 476.60, 661.08 and 463.96

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Solution

The fourth proportional to 476.60, 661.08 and 463.96 is: 643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.60 : 661.08 = 463.96 : x
  2. Step 2: Convert to fraction form
    476.60/661.08 = 463.96/x
  3. Step 3: Cross multiply
    476.60x = 661.08 × 463.96
  4. Step 4: Simplify right side
    476.60x = 306,710.70
  5. Step 5: Solve for x
    x = 306,710.70/476.60
  6. Step 6: Final answer
    x = 643.54

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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.