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Finding the Fourth Proportional to 474.88, 653.67 and 412.47

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Solution

The fourth proportional to 474.88, 653.67 and 412.47 is: 567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 653.67 = 412.47 : x
  2. Step 2: Convert to fraction form
    474.88/653.67 = 412.47/x
  3. Step 3: Cross multiply
    474.88x = 653.67 × 412.47
  4. Step 4: Simplify right side
    474.88x = 269,619.26
  5. Step 5: Solve for x
    x = 269,619.26/474.88
  6. Step 6: Final answer
    x = 567.76

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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.