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Finding the Fourth Proportional to 423.88, 585.32 and 410.12

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Solution

The fourth proportional to 423.88, 585.32 and 410.12 is: 566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 585.32 = 410.12 : x
  2. Step 2: Convert to fraction form
    423.88/585.32 = 410.12/x
  3. Step 3: Cross multiply
    423.88x = 585.32 × 410.12
  4. Step 4: Simplify right side
    423.88x = 240,051.44
  5. Step 5: Solve for x
    x = 240,051.44/423.88
  6. Step 6: Final answer
    x = 566.32

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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.