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Finding the Fourth Proportional to 608.27, 913.19 and 522.16

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Solution

The fourth proportional to 608.27, 913.19 and 522.16 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.27 : 913.19 = 522.16 : x
  2. Step 2: Convert to fraction form
    608.27/913.19 = 522.16/x
  3. Step 3: Cross multiply
    608.27x = 913.19 × 522.16
  4. Step 4: Simplify right side
    608.27x = 476,826.40
  5. Step 5: Solve for x
    x = 476,826.40/608.27
  6. Step 6: Final answer
    x = 783.91

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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.