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Finding the Fourth Proportional to 659.74, 910.15 and 423.27

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Solution

The fourth proportional to 659.74, 910.15 and 423.27 is: 583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.74 : 910.15 = 423.27 : x
  2. Step 2: Convert to fraction form
    659.74/910.15 = 423.27/x
  3. Step 3: Cross multiply
    659.74x = 910.15 × 423.27
  4. Step 4: Simplify right side
    659.74x = 385,239.19
  5. Step 5: Solve for x
    x = 385,239.19/659.74
  6. Step 6: Final answer
    x = 583.93

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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.