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Finding the Fourth Proportional to 474.11, 653.60 and 369.02

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Solution

The fourth proportional to 474.11, 653.60 and 369.02 is: 508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.11 : 653.60 = 369.02 : x
  2. Step 2: Convert to fraction form
    474.11/653.60 = 369.02/x
  3. Step 3: Cross multiply
    474.11x = 653.60 × 369.02
  4. Step 4: Simplify right side
    474.11x = 241,191.47
  5. Step 5: Solve for x
    x = 241,191.47/474.11
  6. Step 6: Final answer
    x = 508.72

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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.