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Finding the Fourth Proportional to 1,186.60, 1,637.46 and 689.38

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Solution

The fourth proportional to 1,186.60, 1,637.46 and 689.38 is: 951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.60 : 1,637.46 = 689.38 : x
  2. Step 2: Convert to fraction form
    1,186.60/1,637.46 = 689.38/x
  3. Step 3: Cross multiply
    1,186.60x = 1,637.46 × 689.38
  4. Step 4: Simplify right side
    1,186.60x = 1,128,832.17
  5. Step 5: Solve for x
    x = 1,128,832.17/1,186.60
  6. Step 6: Final answer
    x = 951.32

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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.