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Finding the Fourth Proportional to 614.93, 849.03 and 474.82

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Solution

The fourth proportional to 614.93, 849.03 and 474.82 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.93 : 849.03 = 474.82 : x
  2. Step 2: Convert to fraction form
    614.93/849.03 = 474.82/x
  3. Step 3: Cross multiply
    614.93x = 849.03 × 474.82
  4. Step 4: Simplify right side
    614.93x = 403,136.42
  5. Step 5: Solve for x
    x = 403,136.42/614.93
  6. Step 6: Final answer
    x = 655.58

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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.