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Finding the Fourth Proportional to 475.64, 655.08 and 410.12

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Solution

The fourth proportional to 475.64, 655.08 and 410.12 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 655.08 = 410.12 : x
  2. Step 2: Convert to fraction form
    475.64/655.08 = 410.12/x
  3. Step 3: Cross multiply
    475.64x = 655.08 × 410.12
  4. Step 4: Simplify right side
    475.64x = 268,661.41
  5. Step 5: Solve for x
    x = 268,661.41/475.64
  6. Step 6: Final answer
    x = 564.84

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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.