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Finding the Fourth Proportional to 476.82, 657.72 and 379.08

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Solution

The fourth proportional to 476.82, 657.72 and 379.08 is: 522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 657.72 = 379.08 : x
  2. Step 2: Convert to fraction form
    476.82/657.72 = 379.08/x
  3. Step 3: Cross multiply
    476.82x = 657.72 × 379.08
  4. Step 4: Simplify right side
    476.82x = 249,328.50
  5. Step 5: Solve for x
    x = 249,328.50/476.82
  6. Step 6: Final answer
    x = 522.90

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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.