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Finding the Fourth Proportional to 491.56, 736.40 and 475.08

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Solution

The fourth proportional to 491.56, 736.40 and 475.08 is: 711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.56 : 736.40 = 475.08 : x
  2. Step 2: Convert to fraction form
    491.56/736.40 = 475.08/x
  3. Step 3: Cross multiply
    491.56x = 736.40 × 475.08
  4. Step 4: Simplify right side
    491.56x = 349,849.61
  5. Step 5: Solve for x
    x = 349,849.61/491.56
  6. Step 6: Final answer
    x = 711.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.