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Finding the Fourth Proportional to 474.24, 653.76 and 411.84

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Solution

The fourth proportional to 474.24, 653.76 and 411.84 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 653.76 = 411.84 : x
  2. Step 2: Convert to fraction form
    474.24/653.76 = 411.84/x
  3. Step 3: Cross multiply
    474.24x = 653.76 × 411.84
  4. Step 4: Simplify right side
    474.24x = 269,244.52
  5. Step 5: Solve for x
    x = 269,244.52/474.24
  6. Step 6: Final answer
    x = 567.74

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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.