Home / 1,214.19-1,676.30-772.47

Finding the Fourth Proportional to 1,214.19, 1,676.30 and 772.47

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Solution

The fourth proportional to 1,214.19, 1,676.30 and 772.47 is: 1,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.19 : 1,676.30 = 772.47 : x
  2. Step 2: Convert to fraction form
    1,214.19/1,676.30 = 772.47/x
  3. Step 3: Cross multiply
    1,214.19x = 1,676.30 × 772.47
  4. Step 4: Simplify right side
    1,214.19x = 1,294,887.60
  5. Step 5: Solve for x
    x = 1,294,887.60/1,214.19
  6. Step 6: Final answer
    x = 1,066.46

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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.