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Finding the Fourth Proportional to 920.40, 1,378.86 and 508.92

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Solution

The fourth proportional to 920.40, 1,378.86 and 508.92 is: 762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.40 : 1,378.86 = 508.92 : x
  2. Step 2: Convert to fraction form
    920.40/1,378.86 = 508.92/x
  3. Step 3: Cross multiply
    920.40x = 1,378.86 × 508.92
  4. Step 4: Simplify right side
    920.40x = 701,729.43
  5. Step 5: Solve for x
    x = 701,729.43/920.40
  6. Step 6: Final answer
    x = 762.42

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1.5x scale

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.