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Finding the Fourth Proportional to 475.48, 653.88 and 381.04

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Solution

The fourth proportional to 475.48, 653.88 and 381.04 is: 524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.48 : 653.88 = 381.04 : x
  2. Step 2: Convert to fraction form
    475.48/653.88 = 381.04/x
  3. Step 3: Cross multiply
    475.48x = 653.88 × 381.04
  4. Step 4: Simplify right side
    475.48x = 249,154.44
  5. Step 5: Solve for x
    x = 249,154.44/475.48
  6. Step 6: Final answer
    x = 524.01

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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.