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Finding the Fourth Proportional to 574.68, 866.81 and 507.06

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Solution

The fourth proportional to 574.68, 866.81 and 507.06 is: 764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 866.81 = 507.06 : x
  2. Step 2: Convert to fraction form
    574.68/866.81 = 507.06/x
  3. Step 3: Cross multiply
    574.68x = 866.81 × 507.06
  4. Step 4: Simplify right side
    574.68x = 439,522.14
  5. Step 5: Solve for x
    x = 439,522.14/574.68
  6. Step 6: Final answer
    x = 764.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.