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Finding the Fourth Proportional to 633.79, 874.70 and 456.90

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Solution

The fourth proportional to 633.79, 874.70 and 456.90 is: 630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.79 : 874.70 = 456.90 : x
  2. Step 2: Convert to fraction form
    633.79/874.70 = 456.90/x
  3. Step 3: Cross multiply
    633.79x = 874.70 × 456.90
  4. Step 4: Simplify right side
    633.79x = 399,650.43
  5. Step 5: Solve for x
    x = 399,650.43/633.79
  6. Step 6: Final answer
    x = 630.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.