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Finding the Fourth Proportional to 634.50, 874.80 and 503.28

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Solution

The fourth proportional to 634.50, 874.80 and 503.28 is: 693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 874.80 = 503.28 : x
  2. Step 2: Convert to fraction form
    634.50/874.80 = 503.28/x
  3. Step 3: Cross multiply
    634.50x = 874.80 × 503.28
  4. Step 4: Simplify right side
    634.50x = 440,269.34
  5. Step 5: Solve for x
    x = 440,269.34/634.50
  6. Step 6: Final answer
    x = 693.88

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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.