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Finding the Fourth Proportional to 456.72, 685.80 and 312.36

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Solution

The fourth proportional to 456.72, 685.80 and 312.36 is: 469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.72 : 685.80 = 312.36 : x
  2. Step 2: Convert to fraction form
    456.72/685.80 = 312.36/x
  3. Step 3: Cross multiply
    456.72x = 685.80 × 312.36
  4. Step 4: Simplify right side
    456.72x = 214,216.49
  5. Step 5: Solve for x
    x = 214,216.49/456.72
  6. Step 6: Final answer
    x = 469.03

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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.