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Finding the Fourth Proportional to 916.86, 1,376.37 and 369.44

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Solution

The fourth proportional to 916.86, 1,376.37 and 369.44 is: 554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.86 : 1,376.37 = 369.44 : x
  2. Step 2: Convert to fraction form
    916.86/1,376.37 = 369.44/x
  3. Step 3: Cross multiply
    916.86x = 1,376.37 × 369.44
  4. Step 4: Simplify right side
    916.86x = 508,479.25
  5. Step 5: Solve for x
    x = 508,479.25/916.86
  6. Step 6: Final answer
    x = 554.59

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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.