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Finding the Fourth Proportional to 785.90, 1,084.67 and 454.52

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Solution

The fourth proportional to 785.90, 1,084.67 and 454.52 is: 627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.90 : 1,084.67 = 454.52 : x
  2. Step 2: Convert to fraction form
    785.90/1,084.67 = 454.52/x
  3. Step 3: Cross multiply
    785.90x = 1,084.67 × 454.52
  4. Step 4: Simplify right side
    785.90x = 493,006.35
  5. Step 5: Solve for x
    x = 493,006.35/785.90
  6. Step 6: Final answer
    x = 627.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.