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Finding the Fourth Proportional to 614.37, 848.21 and 456.82

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Solution

The fourth proportional to 614.37, 848.21 and 456.82 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.37 : 848.21 = 456.82 : x
  2. Step 2: Convert to fraction form
    614.37/848.21 = 456.82/x
  3. Step 3: Cross multiply
    614.37x = 848.21 × 456.82
  4. Step 4: Simplify right side
    614.37x = 387,479.29
  5. Step 5: Solve for x
    x = 387,479.29/614.37
  6. Step 6: Final answer
    x = 630.69

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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.