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Finding the Fourth Proportional to 662.07, 912.96 and 425.55

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Solution

The fourth proportional to 662.07, 912.96 and 425.55 is: 586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.07 : 912.96 = 425.55 : x
  2. Step 2: Convert to fraction form
    662.07/912.96 = 425.55/x
  3. Step 3: Cross multiply
    662.07x = 912.96 × 425.55
  4. Step 4: Simplify right side
    662.07x = 388,510.13
  5. Step 5: Solve for x
    x = 388,510.13/662.07
  6. Step 6: Final answer
    x = 586.81

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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.