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Finding the Fourth Proportional to 435.38, 648.71 and 407.43

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Solution

The fourth proportional to 435.38, 648.71 and 407.43 is: 607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 648.71 = 407.43 : x
  2. Step 2: Convert to fraction form
    435.38/648.71 = 407.43/x
  3. Step 3: Cross multiply
    435.38x = 648.71 × 407.43
  4. Step 4: Simplify right side
    435.38x = 264,303.41
  5. Step 5: Solve for x
    x = 264,303.41/435.38
  6. Step 6: Final answer
    x = 607.07

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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.