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Finding the Fourth Proportional to 551.28, 759.92 and 434.64

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Solution

The fourth proportional to 551.28, 759.92 and 434.64 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.28 : 759.92 = 434.64 : x
  2. Step 2: Convert to fraction form
    551.28/759.92 = 434.64/x
  3. Step 3: Cross multiply
    551.28x = 759.92 × 434.64
  4. Step 4: Simplify right side
    551.28x = 330,291.63
  5. Step 5: Solve for x
    x = 330,291.63/551.28
  6. Step 6: Final answer
    x = 599.14

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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.