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Finding the Fourth Proportional to 435.96, 650.88 and 407.52

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Solution

The fourth proportional to 435.96, 650.88 and 407.52 is: 608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.96 : 650.88 = 407.52 : x
  2. Step 2: Convert to fraction form
    435.96/650.88 = 407.52/x
  3. Step 3: Cross multiply
    435.96x = 650.88 × 407.52
  4. Step 4: Simplify right side
    435.96x = 265,246.62
  5. Step 5: Solve for x
    x = 265,246.62/435.96
  6. Step 6: Final answer
    x = 608.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.