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Finding the Fourth Proportional to 810.49, 1,215.70 and 788.62

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Solution

The fourth proportional to 810.49, 1,215.70 and 788.62 is: 1,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.49 : 1,215.70 = 788.62 : x
  2. Step 2: Convert to fraction form
    810.49/1,215.70 = 788.62/x
  3. Step 3: Cross multiply
    810.49x = 1,215.70 × 788.62
  4. Step 4: Simplify right side
    810.49x = 958,725.33
  5. Step 5: Solve for x
    x = 958,725.33/810.49
  6. Step 6: Final answer
    x = 1,182.90

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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.