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Finding the Fourth Proportional to 478.56, 714 and 456.84

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Solution

The fourth proportional to 478.56, 714 and 456.84 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.56 : 714 = 456.84 : x
  2. Step 2: Convert to fraction form
    478.56/714 = 456.84/x
  3. Step 3: Cross multiply
    478.56x = 714 × 456.84
  4. Step 4: Simplify right side
    478.56x = 326,183.76
  5. Step 5: Solve for x
    x = 326,183.76/478.56
  6. Step 6: Final answer
    x = 681.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.