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Finding the Fourth Proportional to 476.80, 716.00 and 312.55

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Solution

The fourth proportional to 476.80, 716.00 and 312.55 is: 469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.80 : 716.00 = 312.55 : x
  2. Step 2: Convert to fraction form
    476.80/716.00 = 312.55/x
  3. Step 3: Cross multiply
    476.80x = 716.00 × 312.55
  4. Step 4: Simplify right side
    476.80x = 223,782.45
  5. Step 5: Solve for x
    x = 223,782.45/476.80
  6. Step 6: Final answer
    x = 469.34

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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.