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Finding the Fourth Proportional to 435.83, 650.97 and 314.01

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Solution

The fourth proportional to 435.83, 650.97 and 314.01 is: 469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.83 : 650.97 = 314.01 : x
  2. Step 2: Convert to fraction form
    435.83/650.97 = 314.01/x
  3. Step 3: Cross multiply
    435.83x = 650.97 × 314.01
  4. Step 4: Simplify right side
    435.83x = 204,411.09
  5. Step 5: Solve for x
    x = 204,411.09/435.83
  6. Step 6: Final answer
    x = 469.02

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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.