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Finding the Fourth Proportional to 476.52, 713.98 and 313.72

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Solution

The fourth proportional to 476.52, 713.98 and 313.72 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.52 : 713.98 = 313.72 : x
  2. Step 2: Convert to fraction form
    476.52/713.98 = 313.72/x
  3. Step 3: Cross multiply
    476.52x = 713.98 × 313.72
  4. Step 4: Simplify right side
    476.52x = 223,989.81
  5. Step 5: Solve for x
    x = 223,989.81/476.52
  6. Step 6: Final answer
    x = 470.05

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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.