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Finding the Fourth Proportional to 659.81, 910.30 and 423.74

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Solution

The fourth proportional to 659.81, 910.30 and 423.74 is: 584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.81 : 910.30 = 423.74 : x
  2. Step 2: Convert to fraction form
    659.81/910.30 = 423.74/x
  3. Step 3: Cross multiply
    659.81x = 910.30 × 423.74
  4. Step 4: Simplify right side
    659.81x = 385,730.52
  5. Step 5: Solve for x
    x = 385,730.52/659.81
  6. Step 6: Final answer
    x = 584.61

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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.