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Finding the Fourth Proportional to 611.57, 915.86 and 287.03

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Solution

The fourth proportional to 611.57, 915.86 and 287.03 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.57 : 915.86 = 287.03 : x
  2. Step 2: Convert to fraction form
    611.57/915.86 = 287.03/x
  3. Step 3: Cross multiply
    611.57x = 915.86 × 287.03
  4. Step 4: Simplify right side
    611.57x = 262,873.28
  5. Step 5: Solve for x
    x = 262,873.28/611.57
  6. Step 6: Final answer
    x = 429.84

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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.