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Finding the Fourth Proportional to 661.86, 913.02 and 425.39

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Solution

The fourth proportional to 661.86, 913.02 and 425.39 is: 586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.86 : 913.02 = 425.39 : x
  2. Step 2: Convert to fraction form
    661.86/913.02 = 425.39/x
  3. Step 3: Cross multiply
    661.86x = 913.02 × 425.39
  4. Step 4: Simplify right side
    661.86x = 388,385.01
  5. Step 5: Solve for x
    x = 388,385.01/661.86
  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.