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Finding the Fourth Proportional to 652.82, 975.64 and 477.49

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Solution

The fourth proportional to 652.82, 975.64 and 477.49 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.82 : 975.64 = 477.49 : x
  2. Step 2: Convert to fraction form
    652.82/975.64 = 477.49/x
  3. Step 3: Cross multiply
    652.82x = 975.64 × 477.49
  4. Step 4: Simplify right side
    652.82x = 465,858.37
  5. Step 5: Solve for x
    x = 465,858.37/652.82
  6. Step 6: Final answer
    x = 713.61

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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.