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Finding the Fourth Proportional to 633.76, 948.40 and 437.84

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Solution

The fourth proportional to 633.76, 948.40 and 437.84 is: 655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.76 : 948.40 = 437.84 : x
  2. Step 2: Convert to fraction form
    633.76/948.40 = 437.84/x
  3. Step 3: Cross multiply
    633.76x = 948.40 × 437.84
  4. Step 4: Simplify right side
    633.76x = 415,247.46
  5. Step 5: Solve for x
    x = 415,247.46/633.76
  6. Step 6: Final answer
    x = 655.21

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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.