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Finding the Fourth Proportional to 631.84, 948.08 and 469.28

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Solution

The fourth proportional to 631.84, 948.08 and 469.28 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.84 : 948.08 = 469.28 : x
  2. Step 2: Convert to fraction form
    631.84/948.08 = 469.28/x
  3. Step 3: Cross multiply
    631.84x = 948.08 × 469.28
  4. Step 4: Simplify right side
    631.84x = 444,914.98
  5. Step 5: Solve for x
    x = 444,914.98/631.84
  6. Step 6: Final answer
    x = 704.16

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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.