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Finding the Fourth Proportional to 616.94, 851.36 and 407.42

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Solution

The fourth proportional to 616.94, 851.36 and 407.42 is: 562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.94 : 851.36 = 407.42 : x
  2. Step 2: Convert to fraction form
    616.94/851.36 = 407.42/x
  3. Step 3: Cross multiply
    616.94x = 851.36 × 407.42
  4. Step 4: Simplify right side
    616.94x = 346,861.09
  5. Step 5: Solve for x
    x = 346,861.09/616.94
  6. Step 6: Final answer
    x = 562.23

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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.