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Finding the Fourth Proportional to 476.36, 713.32 and 313.80

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Solution

The fourth proportional to 476.36, 713.32 and 313.80 is: 469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 713.32 = 313.80 : x
  2. Step 2: Convert to fraction form
    476.36/713.32 = 313.80/x
  3. Step 3: Cross multiply
    476.36x = 713.32 × 313.80
  4. Step 4: Simplify right side
    476.36x = 223,839.82
  5. Step 5: Solve for x
    x = 223,839.82/476.36
  6. Step 6: Final answer
    x = 469.90

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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.