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Finding the Fourth Proportional to 916.72, 1,375.28 and 429.50

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Solution

The fourth proportional to 916.72, 1,375.28 and 429.50 is: 644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.72 : 1,375.28 = 429.50 : x
  2. Step 2: Convert to fraction form
    916.72/1,375.28 = 429.50/x
  3. Step 3: Cross multiply
    916.72x = 1,375.28 × 429.50
  4. Step 4: Simplify right side
    916.72x = 590,682.76
  5. Step 5: Solve for x
    x = 590,682.76/916.72
  6. Step 6: Final answer
    x = 644.34

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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.