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Finding the Fourth Proportional to 509.56, 702.50 and 382.98

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Solution

The fourth proportional to 509.56, 702.50 and 382.98 is: 527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 702.50 = 382.98 : x
  2. Step 2: Convert to fraction form
    509.56/702.50 = 382.98/x
  3. Step 3: Cross multiply
    509.56x = 702.50 × 382.98
  4. Step 4: Simplify right side
    509.56x = 269,043.45
  5. Step 5: Solve for x
    x = 269,043.45/509.56
  6. Step 6: Final answer
    x = 527.99

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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.