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Finding the Fourth Proportional to 633.69, 948.15 and 529.88

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Solution

The fourth proportional to 633.69, 948.15 and 529.88 is: 792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.69 : 948.15 = 529.88 : x
  2. Step 2: Convert to fraction form
    633.69/948.15 = 529.88/x
  3. Step 3: Cross multiply
    633.69x = 948.15 × 529.88
  4. Step 4: Simplify right side
    633.69x = 502,400.98
  5. Step 5: Solve for x
    x = 502,400.98/633.69
  6. Step 6: Final answer
    x = 792.82

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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.