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Finding the Fourth Proportional to 521.24, 783.66 and 507.56

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Solution

The fourth proportional to 521.24, 783.66 and 507.56 is: 763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 783.66 = 507.56 : x
  2. Step 2: Convert to fraction form
    521.24/783.66 = 507.56/x
  3. Step 3: Cross multiply
    521.24x = 783.66 × 507.56
  4. Step 4: Simplify right side
    521.24x = 397,754.47
  5. Step 5: Solve for x
    x = 397,754.47/521.24
  6. Step 6: Final answer
    x = 763.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.