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Finding the Fourth Proportional to 633.14, 948.02 and 460.20

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Solution

The fourth proportional to 633.14, 948.02 and 460.20 is: 689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.14 : 948.02 = 460.20 : x
  2. Step 2: Convert to fraction form
    633.14/948.02 = 460.20/x
  3. Step 3: Cross multiply
    633.14x = 948.02 × 460.20
  4. Step 4: Simplify right side
    633.14x = 436,276.50
  5. Step 5: Solve for x
    x = 436,276.50/633.14
  6. Step 6: Final answer
    x = 689.07

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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.