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Finding the Fourth Proportional to 610.54, 916.14 and 405.21

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Solution

The fourth proportional to 610.54, 916.14 and 405.21 is: 608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.54 : 916.14 = 405.21 : x
  2. Step 2: Convert to fraction form
    610.54/916.14 = 405.21/x
  3. Step 3: Cross multiply
    610.54x = 916.14 × 405.21
  4. Step 4: Simplify right side
    610.54x = 371,229.09
  5. Step 5: Solve for x
    x = 371,229.09/610.54
  6. Step 6: Final answer
    x = 608.03

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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.