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Finding the Fourth Proportional to 482.76, 666.36 and 409.32

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Solution

The fourth proportional to 482.76, 666.36 and 409.32 is: 564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.76 : 666.36 = 409.32 : x
  2. Step 2: Convert to fraction form
    482.76/666.36 = 409.32/x
  3. Step 3: Cross multiply
    482.76x = 666.36 × 409.32
  4. Step 4: Simplify right side
    482.76x = 272,754.48
  5. Step 5: Solve for x
    x = 272,754.48/482.76
  6. Step 6: Final answer
    x = 564.99

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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.