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Finding the Fourth Proportional to 611.44, 916.56 and 287.08

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Solution

The fourth proportional to 611.44, 916.56 and 287.08 is: 430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.44 : 916.56 = 287.08 : x
  2. Step 2: Convert to fraction form
    611.44/916.56 = 287.08/x
  3. Step 3: Cross multiply
    611.44x = 916.56 × 287.08
  4. Step 4: Simplify right side
    611.44x = 263,126.04
  5. Step 5: Solve for x
    x = 263,126.04/611.44
  6. Step 6: Final answer
    x = 430.34

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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.