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Finding the Fourth Proportional to 611.14, 916.42 and 318.35

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Solution

The fourth proportional to 611.14, 916.42 and 318.35 is: 477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.14 : 916.42 = 318.35 : x
  2. Step 2: Convert to fraction form
    611.14/916.42 = 318.35/x
  3. Step 3: Cross multiply
    611.14x = 916.42 × 318.35
  4. Step 4: Simplify right side
    611.14x = 291,742.31
  5. Step 5: Solve for x
    x = 291,742.31/611.14
  6. Step 6: Final answer
    x = 477.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.