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Finding the Fourth Proportional to 456.48, 688.86 and 442.80

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Solution

The fourth proportional to 456.48, 688.86 and 442.80 is: 668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 688.86 = 442.80 : x
  2. Step 2: Convert to fraction form
    456.48/688.86 = 442.80/x
  3. Step 3: Cross multiply
    456.48x = 688.86 × 442.80
  4. Step 4: Simplify right side
    456.48x = 305,027.21
  5. Step 5: Solve for x
    x = 305,027.21/456.48
  6. Step 6: Final answer
    x = 668.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.