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Finding the Fourth Proportional to 661.56, 912.63 and 425.44

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Solution

The fourth proportional to 661.56, 912.63 and 425.44 is: 586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.56 : 912.63 = 425.44 : x
  2. Step 2: Convert to fraction form
    661.56/912.63 = 425.44/x
  3. Step 3: Cross multiply
    661.56x = 912.63 × 425.44
  4. Step 4: Simplify right side
    661.56x = 388,269.31
  5. Step 5: Solve for x
    x = 388,269.31/661.56
  6. Step 6: Final answer
    x = 586.90

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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.