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Finding the Fourth Proportional to 500.98, 751.56 and 429.34

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Solution

The fourth proportional to 500.98, 751.56 and 429.34 is: 644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 751.56 = 429.34 : x
  2. Step 2: Convert to fraction form
    500.98/751.56 = 429.34/x
  3. Step 3: Cross multiply
    500.98x = 751.56 × 429.34
  4. Step 4: Simplify right side
    500.98x = 322,674.77
  5. Step 5: Solve for x
    x = 322,674.77/500.98
  6. Step 6: Final answer
    x = 644.09

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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.