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Finding the Fourth Proportional to 1,186.35, 1,637.72 and 793.63

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Solution

The fourth proportional to 1,186.35, 1,637.72 and 793.63 is: 1,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.35 : 1,637.72 = 793.63 : x
  2. Step 2: Convert to fraction form
    1,186.35/1,637.72 = 793.63/x
  3. Step 3: Cross multiply
    1,186.35x = 1,637.72 × 793.63
  4. Step 4: Simplify right side
    1,186.35x = 1,299,743.72
  5. Step 5: Solve for x
    x = 1,299,743.72/1,186.35
  6. Step 6: Final answer
    x = 1,095.58

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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.