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Finding the Fourth Proportional to 924.08, 1,378.32 and 785.57

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Solution

The fourth proportional to 924.08, 1,378.32 and 785.57 is: 1,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.08 : 1,378.32 = 785.57 : x
  2. Step 2: Convert to fraction form
    924.08/1,378.32 = 785.57/x
  3. Step 3: Cross multiply
    924.08x = 1,378.32 × 785.57
  4. Step 4: Simplify right side
    924.08x = 1,082,759.95
  5. Step 5: Solve for x
    x = 1,082,759.95/924.08
  6. Step 6: Final answer
    x = 1,171.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.