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Finding the Fourth Proportional to 631.14, 947.58 and 386.88

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Solution

The fourth proportional to 631.14, 947.58 and 386.88 is: 580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.14 : 947.58 = 386.88 : x
  2. Step 2: Convert to fraction form
    631.14/947.58 = 386.88/x
  3. Step 3: Cross multiply
    631.14x = 947.58 × 386.88
  4. Step 4: Simplify right side
    631.14x = 366,599.75
  5. Step 5: Solve for x
    x = 366,599.75/631.14
  6. Step 6: Final answer
    x = 580.85

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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.