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Finding the Fourth Proportional to 786.06, 1,086.62 and 630.24

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Solution

The fourth proportional to 786.06, 1,086.62 and 630.24 is: 871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.06 : 1,086.62 = 630.24 : x
  2. Step 2: Convert to fraction form
    786.06/1,086.62 = 630.24/x
  3. Step 3: Cross multiply
    786.06x = 1,086.62 × 630.24
  4. Step 4: Simplify right side
    786.06x = 684,831.39
  5. Step 5: Solve for x
    x = 684,831.39/786.06
  6. Step 6: Final answer
    x = 871.22

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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.