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Finding the Fourth Proportional to 585.44, 807.36 and 408.32

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Solution

The fourth proportional to 585.44, 807.36 and 408.32 is: 563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.44 : 807.36 = 408.32 : x
  2. Step 2: Convert to fraction form
    585.44/807.36 = 408.32/x
  3. Step 3: Cross multiply
    585.44x = 807.36 × 408.32
  4. Step 4: Simplify right side
    585.44x = 329,661.24
  5. Step 5: Solve for x
    x = 329,661.24/585.44
  6. Step 6: Final answer
    x = 563.10

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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.