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Finding the Fourth Proportional to 786.16, 1,085.55 and 655.85

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Solution

The fourth proportional to 786.16, 1,085.55 and 655.85 is: 905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.16 : 1,085.55 = 655.85 : x
  2. Step 2: Convert to fraction form
    786.16/1,085.55 = 655.85/x
  3. Step 3: Cross multiply
    786.16x = 1,085.55 × 655.85
  4. Step 4: Simplify right side
    786.16x = 711,952.54
  5. Step 5: Solve for x
    x = 711,952.54/786.16
  6. Step 6: Final answer
    x = 905.61

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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.