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Finding the Fourth Proportional to 479.54, 660.91 and 412.98

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Solution

The fourth proportional to 479.54, 660.91 and 412.98 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.54 : 660.91 = 412.98 : x
  2. Step 2: Convert to fraction form
    479.54/660.91 = 412.98/x
  3. Step 3: Cross multiply
    479.54x = 660.91 × 412.98
  4. Step 4: Simplify right side
    479.54x = 272,937.24
  5. Step 5: Solve for x
    x = 272,937.24/479.54
  6. Step 6: Final answer
    x = 569.17

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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.