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Finding the Fourth Proportional to 509.49, 702.27 and 343.64

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Solution

The fourth proportional to 509.49, 702.27 and 343.64 is: 473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 702.27 = 343.64 : x
  2. Step 2: Convert to fraction form
    509.49/702.27 = 343.64/x
  3. Step 3: Cross multiply
    509.49x = 702.27 × 343.64
  4. Step 4: Simplify right side
    509.49x = 241,329.82
  5. Step 5: Solve for x
    x = 241,329.82/509.49
  6. Step 6: Final answer
    x = 473.67

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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.