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Finding the Fourth Proportional to 611.12, 915.96 and 322.40

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Solution

The fourth proportional to 611.12, 915.96 and 322.40 is: 483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.12 : 915.96 = 322.40 : x
  2. Step 2: Convert to fraction form
    611.12/915.96 = 322.40/x
  3. Step 3: Cross multiply
    611.12x = 915.96 × 322.40
  4. Step 4: Simplify right side
    611.12x = 295,305.50
  5. Step 5: Solve for x
    x = 295,305.50/611.12
  6. Step 6: Final answer
    x = 483.22

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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.