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Finding the Fourth Proportional to 916.35, 1,372.53 and 476.27

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Solution

The fourth proportional to 916.35, 1,372.53 and 476.27 is: 713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.35 : 1,372.53 = 476.27 : x
  2. Step 2: Convert to fraction form
    916.35/1,372.53 = 476.27/x
  3. Step 3: Cross multiply
    916.35x = 1,372.53 × 476.27
  4. Step 4: Simplify right side
    916.35x = 653,697.10
  5. Step 5: Solve for x
    x = 653,697.10/916.35
  6. Step 6: Final answer
    x = 713.37

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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.