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Finding the Fourth Proportional to 631.87, 948.15 and 478.75

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Solution

The fourth proportional to 631.87, 948.15 and 478.75 is: 718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.87 : 948.15 = 478.75 : x
  2. Step 2: Convert to fraction form
    631.87/948.15 = 478.75/x
  3. Step 3: Cross multiply
    631.87x = 948.15 × 478.75
  4. Step 4: Simplify right side
    631.87x = 453,926.81
  5. Step 5: Solve for x
    x = 453,926.81/631.87
  6. Step 6: Final answer
    x = 718.39

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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.