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Finding the Fourth Proportional to 1,273.69, 1,757.60 and 714.05

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Solution

The fourth proportional to 1,273.69, 1,757.60 and 714.05 is: 985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.69 : 1,757.60 = 714.05 : x
  2. Step 2: Convert to fraction form
    1,273.69/1,757.60 = 714.05/x
  3. Step 3: Cross multiply
    1,273.69x = 1,757.60 × 714.05
  4. Step 4: Simplify right side
    1,273.69x = 1,255,011.19
  5. Step 5: Solve for x
    x = 1,255,011.19/1,273.69
  6. Step 6: Final answer
    x = 985.33

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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.