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Finding the Fourth Proportional to 478.73, 659.34 and 442.28

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Solution

The fourth proportional to 478.73, 659.34 and 442.28 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.73 : 659.34 = 442.28 : x
  2. Step 2: Convert to fraction form
    478.73/659.34 = 442.28/x
  3. Step 3: Cross multiply
    478.73x = 659.34 × 442.28
  4. Step 4: Simplify right side
    478.73x = 291,607.39
  5. Step 5: Solve for x
    x = 291,607.39/478.73
  6. Step 6: Final answer
    x = 609.13

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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.