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Finding the Fourth Proportional to 638.12, 957.10 and 286.98

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Solution

The fourth proportional to 638.12, 957.10 and 286.98 is: 430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.12 : 957.10 = 286.98 : x
  2. Step 2: Convert to fraction form
    638.12/957.10 = 286.98/x
  3. Step 3: Cross multiply
    638.12x = 957.10 × 286.98
  4. Step 4: Simplify right side
    638.12x = 274,667.12
  5. Step 5: Solve for x
    x = 274,667.12/638.12
  6. Step 6: Final answer
    x = 430.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.