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Finding the Fourth Proportional to 1,214.54, 1,676.32 and 772.36

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Solution

The fourth proportional to 1,214.54, 1,676.32 and 772.36 is: 1,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.54 : 1,676.32 = 772.36 : x
  2. Step 2: Convert to fraction form
    1,214.54/1,676.32 = 772.36/x
  3. Step 3: Cross multiply
    1,214.54x = 1,676.32 × 772.36
  4. Step 4: Simplify right side
    1,214.54x = 1,294,723.28
  5. Step 5: Solve for x
    x = 1,294,723.28/1,214.54
  6. Step 6: Final answer
    x = 1,066.02

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1.5x scale

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.