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Finding the Fourth Proportional to 569.18, 849.22 and 507.62

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Solution

The fourth proportional to 569.18, 849.22 and 507.62 is: 757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.18 : 849.22 = 507.62 : x
  2. Step 2: Convert to fraction form
    569.18/849.22 = 507.62/x
  3. Step 3: Cross multiply
    569.18x = 849.22 × 507.62
  4. Step 4: Simplify right side
    569.18x = 431,081.06
  5. Step 5: Solve for x
    x = 431,081.06/569.18
  6. Step 6: Final answer
    x = 757.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.