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Finding the Fourth Proportional to 541.64, 816.56 and 506.42

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Solution

The fourth proportional to 541.64, 816.56 and 506.42 is: 763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.64 : 816.56 = 506.42 : x
  2. Step 2: Convert to fraction form
    541.64/816.56 = 506.42/x
  3. Step 3: Cross multiply
    541.64x = 816.56 × 506.42
  4. Step 4: Simplify right side
    541.64x = 413,522.32
  5. Step 5: Solve for x
    x = 413,522.32/541.64
  6. Step 6: Final answer
    x = 763.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.