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Finding the Fourth Proportional to 659.79, 910.41 and 394.15

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Solution

The fourth proportional to 659.79, 910.41 and 394.15 is: 543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.79 : 910.41 = 394.15 : x
  2. Step 2: Convert to fraction form
    659.79/910.41 = 394.15/x
  3. Step 3: Cross multiply
    659.79x = 910.41 × 394.15
  4. Step 4: Simplify right side
    659.79x = 358,838.10
  5. Step 5: Solve for x
    x = 358,838.10/659.79
  6. Step 6: Final answer
    x = 543.87

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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.