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Finding the Fourth Proportional to 476.31, 713.52 and 313.50

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Solution

The fourth proportional to 476.31, 713.52 and 313.50 is: 469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.31 : 713.52 = 313.50 : x
  2. Step 2: Convert to fraction form
    476.31/713.52 = 313.50/x
  3. Step 3: Cross multiply
    476.31x = 713.52 × 313.50
  4. Step 4: Simplify right side
    476.31x = 223,688.52
  5. Step 5: Solve for x
    x = 223,688.52/476.31
  6. Step 6: Final answer
    x = 469.63

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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.