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Finding the Fourth Proportional to 786.01, 1,085.12 and 550.68

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Solution

The fourth proportional to 786.01, 1,085.12 and 550.68 is: 760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.01 : 1,085.12 = 550.68 : x
  2. Step 2: Convert to fraction form
    786.01/1,085.12 = 550.68/x
  3. Step 3: Cross multiply
    786.01x = 1,085.12 × 550.68
  4. Step 4: Simplify right side
    786.01x = 597,549.12
  5. Step 5: Solve for x
    x = 597,549.12/786.01
  6. Step 6: Final answer
    x = 760.23

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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.