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Finding the Fourth Proportional to 614.58, 847.16 and 456.96

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Solution

The fourth proportional to 614.58, 847.16 and 456.96 is: 629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.58 : 847.16 = 456.96 : x
  2. Step 2: Convert to fraction form
    614.58/847.16 = 456.96/x
  3. Step 3: Cross multiply
    614.58x = 847.16 × 456.96
  4. Step 4: Simplify right side
    614.58x = 387,122.71
  5. Step 5: Solve for x
    x = 387,122.71/614.58
  6. Step 6: Final answer
    x = 629.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.