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Finding the Fourth Proportional to 611.52, 916.56 and 322.80

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Solution

The fourth proportional to 611.52, 916.56 and 322.80 is: 483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.52 : 916.56 = 322.80 : x
  2. Step 2: Convert to fraction form
    611.52/916.56 = 322.80/x
  3. Step 3: Cross multiply
    611.52x = 916.56 × 322.80
  4. Step 4: Simplify right side
    611.52x = 295,865.57
  5. Step 5: Solve for x
    x = 295,865.57/611.52
  6. Step 6: Final answer
    x = 483.82

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