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Finding the Fourth Proportional to 509.82, 702.64 and 343.57

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Solution

The fourth proportional to 509.82, 702.64 and 343.57 is: 473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.82 : 702.64 = 343.57 : x
  2. Step 2: Convert to fraction form
    509.82/702.64 = 343.57/x
  3. Step 3: Cross multiply
    509.82x = 702.64 × 343.57
  4. Step 4: Simplify right side
    509.82x = 241,406.02
  5. Step 5: Solve for x
    x = 241,406.02/509.82
  6. Step 6: Final answer
    x = 473.51

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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.