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Finding the Fourth Proportional to 474.21, 709.64 and 409.96

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Solution

The fourth proportional to 474.21, 709.64 and 409.96 is: 613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.21 : 709.64 = 409.96 : x
  2. Step 2: Convert to fraction form
    474.21/709.64 = 409.96/x
  3. Step 3: Cross multiply
    474.21x = 709.64 × 409.96
  4. Step 4: Simplify right side
    474.21x = 290,925.72
  5. Step 5: Solve for x
    x = 290,925.72/474.21
  6. Step 6: Final answer
    x = 613.50

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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.