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Finding the Fourth Proportional to 509.12, 706.24 and 496.32

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Solution

The fourth proportional to 509.12, 706.24 and 496.32 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 706.24 = 496.32 : x
  2. Step 2: Convert to fraction form
    509.12/706.24 = 496.32/x
  3. Step 3: Cross multiply
    509.12x = 706.24 × 496.32
  4. Step 4: Simplify right side
    509.12x = 350,521.04
  5. Step 5: Solve for x
    x = 350,521.04/509.12
  6. Step 6: Final answer
    x = 688.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.