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Finding the Fourth Proportional to 474.82, 712.13 and 145.69

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Solution

The fourth proportional to 474.82, 712.13 and 145.69 is: 218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.82 : 712.13 = 145.69 : x
  2. Step 2: Convert to fraction form
    474.82/712.13 = 145.69/x
  3. Step 3: Cross multiply
    474.82x = 712.13 × 145.69
  4. Step 4: Simplify right side
    474.82x = 103,747.71
  5. Step 5: Solve for x
    x = 103,747.71/474.82
  6. Step 6: Final answer
    x = 218.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.