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Finding the Fourth Proportional to 841.97, 1,262.16 and 512.09

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Solution

The fourth proportional to 841.97, 1,262.16 and 512.09 is: 767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.97 : 1,262.16 = 512.09 : x
  2. Step 2: Convert to fraction form
    841.97/1,262.16 = 512.09/x
  3. Step 3: Cross multiply
    841.97x = 1,262.16 × 512.09
  4. Step 4: Simplify right side
    841.97x = 646,333.20
  5. Step 5: Solve for x
    x = 646,333.20/841.97
  6. Step 6: Final answer
    x = 767.65

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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.