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Finding the Fourth Proportional to 920.27, 1,378.04 and 508.94

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Solution

The fourth proportional to 920.27, 1,378.04 and 508.94 is: 762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.27 : 1,378.04 = 508.94 : x
  2. Step 2: Convert to fraction form
    920.27/1,378.04 = 508.94/x
  3. Step 3: Cross multiply
    920.27x = 1,378.04 × 508.94
  4. Step 4: Simplify right side
    920.27x = 701,330.24
  5. Step 5: Solve for x
    x = 701,330.24/920.27
  6. Step 6: Final answer
    x = 762.10

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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.