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Finding the Fourth Proportional to 773.02, 1,066.32 and 507.37

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Solution

The fourth proportional to 773.02, 1,066.32 and 507.37 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,066.32 = 507.37 : x
  2. Step 2: Convert to fraction form
    773.02/1,066.32 = 507.37/x
  3. Step 3: Cross multiply
    773.02x = 1,066.32 × 507.37
  4. Step 4: Simplify right side
    773.02x = 541,018.78
  5. Step 5: Solve for x
    x = 541,018.78/773.02
  6. Step 6: Final answer
    x = 699.88

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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.