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Finding the Fourth Proportional to 788.60, 1,182.90 and 649.40

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Solution

The fourth proportional to 788.60, 1,182.90 and 649.40 is: 974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.60 : 1,182.90 = 649.40 : x
  2. Step 2: Convert to fraction form
    788.60/1,182.90 = 649.40/x
  3. Step 3: Cross multiply
    788.60x = 1,182.90 × 649.40
  4. Step 4: Simplify right side
    788.60x = 768,175.26
  5. Step 5: Solve for x
    x = 768,175.26/788.60
  6. Step 6: Final answer
    x = 974.10

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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.