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Finding the Fourth Proportional to 503.34, 753.54 and 382.08

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Solution

The fourth proportional to 503.34, 753.54 and 382.08 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 753.54 = 382.08 : x
  2. Step 2: Convert to fraction form
    503.34/753.54 = 382.08/x
  3. Step 3: Cross multiply
    503.34x = 753.54 × 382.08
  4. Step 4: Simplify right side
    503.34x = 287,912.56
  5. Step 5: Solve for x
    x = 287,912.56/503.34
  6. Step 6: Final answer
    x = 572.00

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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.