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Finding the Fourth Proportional to 610.93, 916.80 and 322.57

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Solution

The fourth proportional to 610.93, 916.80 and 322.57 is: 484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.93 : 916.80 = 322.57 : x
  2. Step 2: Convert to fraction form
    610.93/916.80 = 322.57/x
  3. Step 3: Cross multiply
    610.93x = 916.80 × 322.57
  4. Step 4: Simplify right side
    610.93x = 295,732.18
  5. Step 5: Solve for x
    x = 295,732.18/610.93
  6. Step 6: Final answer
    x = 484.07

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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.