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Finding the Fourth Proportional to 631.78, 948.36 and 434.14

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Solution

The fourth proportional to 631.78, 948.36 and 434.14 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.78 : 948.36 = 434.14 : x
  2. Step 2: Convert to fraction form
    631.78/948.36 = 434.14/x
  3. Step 3: Cross multiply
    631.78x = 948.36 × 434.14
  4. Step 4: Simplify right side
    631.78x = 411,721.01
  5. Step 5: Solve for x
    x = 411,721.01/631.78
  6. Step 6: Final answer
    x = 651.68

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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.