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Finding the Fourth Proportional to 507.44, 700.20 and 297.56

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Solution

The fourth proportional to 507.44, 700.20 and 297.56 is: 410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 700.20 = 297.56 : x
  2. Step 2: Convert to fraction form
    507.44/700.20 = 297.56/x
  3. Step 3: Cross multiply
    507.44x = 700.20 × 297.56
  4. Step 4: Simplify right side
    507.44x = 208,351.51
  5. Step 5: Solve for x
    x = 208,351.51/507.44
  6. Step 6: Final answer
    x = 410.59

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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.