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Finding the Fourth Proportional to 610.90, 916.74 and 322.54

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Solution

The fourth proportional to 610.90, 916.74 and 322.54 is: 484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 916.74 = 322.54 : x
  2. Step 2: Convert to fraction form
    610.90/916.74 = 322.54/x
  3. Step 3: Cross multiply
    610.90x = 916.74 × 322.54
  4. Step 4: Simplify right side
    610.90x = 295,685.32
  5. Step 5: Solve for x
    x = 295,685.32/610.90
  6. Step 6: Final answer
    x = 484.02

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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.