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Finding the Fourth Proportional to 509.28, 707.04 and 493.44

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Solution

The fourth proportional to 509.28, 707.04 and 493.44 is: 685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 707.04 = 493.44 : x
  2. Step 2: Convert to fraction form
    509.28/707.04 = 493.44/x
  3. Step 3: Cross multiply
    509.28x = 707.04 × 493.44
  4. Step 4: Simplify right side
    509.28x = 348,881.82
  5. Step 5: Solve for x
    x = 348,881.82/509.28
  6. Step 6: Final answer
    x = 685.05

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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.