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Finding the Fourth Proportional to 478.15, 713.76 and 444.39

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Solution

The fourth proportional to 478.15, 713.76 and 444.39 is: 663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.15 : 713.76 = 444.39 : x
  2. Step 2: Convert to fraction form
    478.15/713.76 = 444.39/x
  3. Step 3: Cross multiply
    478.15x = 713.76 × 444.39
  4. Step 4: Simplify right side
    478.15x = 317,187.81
  5. Step 5: Solve for x
    x = 317,187.81/478.15
  6. Step 6: Final answer
    x = 663.36

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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.