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Finding the Fourth Proportional to 1,086.02, 1,497.72 and 712.86

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Solution

The fourth proportional to 1,086.02, 1,497.72 and 712.86 is: 983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.02 : 1,497.72 = 712.86 : x
  2. Step 2: Convert to fraction form
    1,086.02/1,497.72 = 712.86/x
  3. Step 3: Cross multiply
    1,086.02x = 1,497.72 × 712.86
  4. Step 4: Simplify right side
    1,086.02x = 1,067,664.68
  5. Step 5: Solve for x
    x = 1,067,664.68/1,086.02
  6. Step 6: Final answer
    x = 983.10

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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.