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Finding the Fourth Proportional to 503.60, 753.96 and 349.04

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Solution

The fourth proportional to 503.60, 753.96 and 349.04 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.60 : 753.96 = 349.04 : x
  2. Step 2: Convert to fraction form
    503.60/753.96 = 349.04/x
  3. Step 3: Cross multiply
    503.60x = 753.96 × 349.04
  4. Step 4: Simplify right side
    503.60x = 263,162.20
  5. Step 5: Solve for x
    x = 263,162.20/503.60
  6. Step 6: Final answer
    x = 522.56

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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.