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Finding the Fourth Proportional to 480.77, 716.14 and 474.39

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Solution

The fourth proportional to 480.77, 716.14 and 474.39 is: 706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.77 : 716.14 = 474.39 : x
  2. Step 2: Convert to fraction form
    480.77/716.14 = 474.39/x
  3. Step 3: Cross multiply
    480.77x = 716.14 × 474.39
  4. Step 4: Simplify right side
    480.77x = 339,729.65
  5. Step 5: Solve for x
    x = 339,729.65/480.77
  6. Step 6: Final answer
    x = 706.64

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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.