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Finding the Fourth Proportional to 930.72, 1,396.08 and 545.44

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Solution

The fourth proportional to 930.72, 1,396.08 and 545.44 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.72 : 1,396.08 = 545.44 : x
  2. Step 2: Convert to fraction form
    930.72/1,396.08 = 545.44/x
  3. Step 3: Cross multiply
    930.72x = 1,396.08 × 545.44
  4. Step 4: Simplify right side
    930.72x = 761,477.88
  5. Step 5: Solve for x
    x = 761,477.88/930.72
  6. Step 6: Final answer
    x = 818.16

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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.