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Finding the Fourth Proportional to 476.88, 716.04 and 416.40

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Solution

The fourth proportional to 476.88, 716.04 and 416.40 is: 625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.88 : 716.04 = 416.40 : x
  2. Step 2: Convert to fraction form
    476.88/716.04 = 416.40/x
  3. Step 3: Cross multiply
    476.88x = 716.04 × 416.40
  4. Step 4: Simplify right side
    476.88x = 298,159.06
  5. Step 5: Solve for x
    x = 298,159.06/476.88
  6. Step 6: Final answer
    x = 625.23

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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.