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Finding the Fourth Proportional to 484.30, 722.49 and 478.16

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Solution

The fourth proportional to 484.30, 722.49 and 478.16 is: 713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.30 : 722.49 = 478.16 : x
  2. Step 2: Convert to fraction form
    484.30/722.49 = 478.16/x
  3. Step 3: Cross multiply
    484.30x = 722.49 × 478.16
  4. Step 4: Simplify right side
    484.30x = 345,465.82
  5. Step 5: Solve for x
    x = 345,465.82/484.30
  6. Step 6: Final answer
    x = 713.33

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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.