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Finding the Fourth Proportional to 916.07, 1,372.74 and 550.43

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Solution

The fourth proportional to 916.07, 1,372.74 and 550.43 is: 824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.07 : 1,372.74 = 550.43 : x
  2. Step 2: Convert to fraction form
    916.07/1,372.74 = 550.43/x
  3. Step 3: Cross multiply
    916.07x = 1,372.74 × 550.43
  4. Step 4: Simplify right side
    916.07x = 755,590.41
  5. Step 5: Solve for x
    x = 755,590.41/916.07
  6. Step 6: Final answer
    x = 824.82

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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.