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Finding the Fourth Proportional to 659.92, 910.76 and 427.12

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Solution

The fourth proportional to 659.92, 910.76 and 427.12 is: 589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.92 : 910.76 = 427.12 : x
  2. Step 2: Convert to fraction form
    659.92/910.76 = 427.12/x
  3. Step 3: Cross multiply
    659.92x = 910.76 × 427.12
  4. Step 4: Simplify right side
    659.92x = 389,003.81
  5. Step 5: Solve for x
    x = 389,003.81/659.92
  6. Step 6: Final answer
    x = 589.47

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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.