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Finding the Fourth Proportional to 631.72, 946.14 and 448.12

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Solution

The fourth proportional to 631.72, 946.14 and 448.12 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.72 : 946.14 = 448.12 : x
  2. Step 2: Convert to fraction form
    631.72/946.14 = 448.12/x
  3. Step 3: Cross multiply
    631.72x = 946.14 × 448.12
  4. Step 4: Simplify right side
    631.72x = 423,984.26
  5. Step 5: Solve for x
    x = 423,984.26/631.72
  6. Step 6: Final answer
    x = 671.16

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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.