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Finding the Fourth Proportional to 509.44, 702.93 and 322.96

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Solution

The fourth proportional to 509.44, 702.93 and 322.96 is: 445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 702.93 = 322.96 : x
  2. Step 2: Convert to fraction form
    509.44/702.93 = 322.96/x
  3. Step 3: Cross multiply
    509.44x = 702.93 × 322.96
  4. Step 4: Simplify right side
    509.44x = 227,018.27
  5. Step 5: Solve for x
    x = 227,018.27/509.44
  6. Step 6: Final answer
    x = 445.62

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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.