Home / 1,319.42-1,977.39-701.80

Finding the Fourth Proportional to 1,319.42, 1,977.39 and 701.80

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Solution

The fourth proportional to 1,319.42, 1,977.39 and 701.80 is: 1,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.42 : 1,977.39 = 701.80 : x
  2. Step 2: Convert to fraction form
    1,319.42/1,977.39 = 701.80/x
  3. Step 3: Cross multiply
    1,319.42x = 1,977.39 × 701.80
  4. Step 4: Simplify right side
    1,319.42x = 1,387,725.38
  5. Step 5: Solve for x
    x = 1,387,725.38/1,319.42
  6. Step 6: Final answer
    x = 1,051.77

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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.