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Finding the Fourth Proportional to 1,073.44, 1,483.20 and 779.68

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Solution

The fourth proportional to 1,073.44, 1,483.20 and 779.68 is: 1,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.44 : 1,483.20 = 779.68 : x
  2. Step 2: Convert to fraction form
    1,073.44/1,483.20 = 779.68/x
  3. Step 3: Cross multiply
    1,073.44x = 1,483.20 × 779.68
  4. Step 4: Simplify right side
    1,073.44x = 1,156,421.38
  5. Step 5: Solve for x
    x = 1,156,421.38/1,073.44
  6. Step 6: Final answer
    x = 1,077.30

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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.