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Finding the Fourth Proportional to 476.64, 716.04 and 405.36

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Solution

The fourth proportional to 476.64, 716.04 and 405.36 is: 608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 716.04 = 405.36 : x
  2. Step 2: Convert to fraction form
    476.64/716.04 = 405.36/x
  3. Step 3: Cross multiply
    476.64x = 716.04 × 405.36
  4. Step 4: Simplify right side
    476.64x = 290,253.97
  5. Step 5: Solve for x
    x = 290,253.97/476.64
  6. Step 6: Final answer
    x = 608.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.