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Finding the Fourth Proportional to 475.02, 654.76 and 381.60

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Solution

The fourth proportional to 475.02, 654.76 and 381.60 is: 525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.02 : 654.76 = 381.60 : x
  2. Step 2: Convert to fraction form
    475.02/654.76 = 381.60/x
  3. Step 3: Cross multiply
    475.02x = 654.76 × 381.60
  4. Step 4: Simplify right side
    475.02x = 249,856.42
  5. Step 5: Solve for x
    x = 249,856.42/475.02
  6. Step 6: Final answer
    x = 525.99

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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.