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Finding the Fourth Proportional to 657.19, 905.38 and 457.67

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Solution

The fourth proportional to 657.19, 905.38 and 457.67 is: 630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 905.38 = 457.67 : x
  2. Step 2: Convert to fraction form
    657.19/905.38 = 457.67/x
  3. Step 3: Cross multiply
    657.19x = 905.38 × 457.67
  4. Step 4: Simplify right side
    657.19x = 414,366.38
  5. Step 5: Solve for x
    x = 414,366.38/657.19
  6. Step 6: Final answer
    x = 630.51

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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.