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Finding the Fourth Proportional to 475.84, 657.12 and 345.54

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Solution

The fourth proportional to 475.84, 657.12 and 345.54 is: 477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 657.12 = 345.54 : x
  2. Step 2: Convert to fraction form
    475.84/657.12 = 345.54/x
  3. Step 3: Cross multiply
    475.84x = 657.12 × 345.54
  4. Step 4: Simplify right side
    475.84x = 227,061.24
  5. Step 5: Solve for x
    x = 227,061.24/475.84
  6. Step 6: Final answer
    x = 477.18

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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.